The graph below models the late fee for overdue books at the library what is the unit rate for the cost of an overdue book at this library?
A)$2 per day
B)$4.50 per day
C)$0.50 per day
D)$1 per day
Answers
Answer:
The answer is C. $0.50 per day .
Hope this helps
Option C is correct, $0.50 per day is the unit rate for the cost of an overdue book at this library.
The unit rate is the cost per one unit of a given quantity.
In this case, it's the cost of an overdue book per day.
In the given graph models the late fee for overdue books, you can find the unit rate by identifying two points on the graph and calculating the slope between those points.
Suppose you have two points on the graph: (x₁, y₁) and (x₂, y₂), where x represents the number of days the book is overdue, and y represents the corresponding late fee in dollars.
The formula for calculating the slope (m) between two points is:
m = (y₂ - y₁) / (x₂ - x₁)
Let us take two points from graph: (4, 2) and (6, 3)
Unit rate = 3-2/6-4
=1/2
=0.5
Hence, $0.50 is the unit rate for the cost of an overdue book at this library. Option C is correct.
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Related Questions
(6x + 9) - (4x + 6) I need help
Answers
6x+9-4x-6
2x+3
assuming you simplify, hope this helps!
John needs to take a cab uptown and only has y dollars. The cab company charges a flat fee of $2.25 plus $0.55 per mile. If John has $12.52 and he finds a cab with the same flat fee that only charges $0.45 per miles, what is the maximum number of miles he will be able to travel, t the nearest tenth of a mile?
Answers
Answer:
Maximum distance covered by John = 22.8 miles
Step-by-step explanation:
The cab company charges a flat fee of $2.25 plus $0.55 per mile.
Amount of money John has = $y
Let the number of miles traveled in $y = x miles
If John finds a cab charging same fee and $0.45 per mile,
y ≤ 2.25 + 0.45x
y - 2.25 ≤ 0.45x
[tex]x\leq \frac{(y-2.25)}{0.45}[/tex]
Therefore, inequality representing the maximum distance covered by John,
[tex]x\leq \frac{(y-2.25)}{0.45}[/tex]
If, y = $12.52
[tex]x\leq \frac{(12.52-2.25)}{0.45}[/tex]
x ≤ 22.8 miles
Therefore, John will be able to travel the maximum distance = 22.8 miles.
Answer:
x ≤ 22.8 miles
John will be able to travel the maximum distance of 22.8 miles.
Step-by-step explanation:
I hope this helps
Riley is training to run in a 5-kilometer road race. She would like to
reduce her race time by 15 seconds each month that she trains.
The race is in 3 months. What is the total change in time that Riley
hopes to achieve?
1. What integer represents the change in race time Riley wants to
achieve each month?
2. What integer represents the number of months she will train?
3. Write a multiplication expression that can be used to find the total
change in time.
4. Complete the number line to find the product.
-15
--50-45-40-35-30-25-20-15 -10 -5
0
5. What is the total change in race time that Riley hopes to achieve?
Explain what this change represents in the situation.
Answers
Answer:
1. -15
2. 3
3. -15 [tex]\times[/tex] 3
4. Kindly refer to the attached image.
5. -45, This change represents that achieving the goal will reduced the time by 45 seconds.
Step-by-step explanation:
Given that it is a 5 kilometre race.
Time to be reduced each month = 15 seconds
Total number of months left in the race = 3
1. Riley wants to achieve each month a decrease of 15 seconds.
Integer representing the change = -15
2. Change in time i.e. 3 months is represented by integer 3.
3. There are a total of 3 months and there is a decrease of 15 every month.
so, multiplication expression is: -15 [tex]\times[/tex] 3
4. Kindly refer to the attached image for the number line representation of the answer.
The arrow is from 0 to -45.
5. Total change in time is -45.
This change represents that achieving the goal will reduced the time by 45 seconds.
−15 ÷ 5 =
A number line going from negative 30 to positive 30. An arrow goes from 5 to 10, from 10 to 15, from 15 to 20.
Emily used the number line to find the quotient for -15 ÷ 5. What errors did she make? Select three correct answers.
The arrows should point in the negative direction.
The small arrows should end in the same place as the large one.
The arrows should end on negative 15.
The arrows should start at zero.
There should be 5 small arrows.
Answers
Answer:
-3 is the answer because if we divide 15 by 5 we get 3 . So it is same only the question is -15 divide by 5 so the answer is -3
Answer:
The answer is A,C,D
Step-by-step explanation:
Just had the question :D
My son, Garrett, is 11 years old and has a piggy bank that he wants to fill. He started with 5 one dollar bills. Every Saturday he earns 3 more dollar bills for chores he’s completed. How many one dollar bills will he have by the end of 10 weeks?
1. Write a function model, M(x), that represents the total number of one dollar bills garret will have in one dollar bills, x
2. Identify the independent and dependent quantity.
3. The domain and range are represented as discrete or continuous?
4.What is a reasonable domain and range for this scenario?
Thanks for the help!
Answers
Answer:
1) M(x) = 5 + 3x
2) Dependent variable; 3 dollar bills
Independent variable: chores
3) Range is continuous
Domain is discrete
4) Range: 0 ≤ x ≤ 10
Domain: 5 ≤ M ≤ 35
Step-by-step explanation:
We are told he started with 5 number of $1 dollar bills and that every Saturday, he earns 3 more $1 dollar bill.
Thus, total number of $1 bills earned after x number of Saturdays(weekly) is;
M(x) = 5 + 3x
After 10 weeks, total number is;
M(10) = 5 + 3(10)
M(10) = 35
The dependent variable is the 3 more dollar bills earned each Saturday because it depends on chores he completed. While the independent variable is the chores because it doesn't depend on anything.
After 10 weeks, the range and domain will be;
Range: 0 ≤ x ≤ 10
For the; Domain:
For x = 1, M(0) = 5 + 3(0) = 5
M(10) = 35
Thus;
Domain: 5 ≤ M ≤ 35
The range could be all numbers in the interval from 0 to 10. Thus, it is continuous.
Whereas, the domain doesn't contain all the numbers in the interval from 5 to 35. Thus it is Discrete.
Choose two statements that are true fo of this expression. 5x^3- 6x^2 - 25/y + 18
Answers
Answer:
5x^3- 6x^2 - 25/y + 18 / y
Step-by-step explanation:
It would be that expression over y.
Sorry if its wrong I'm still learning too:)
Answer:
The answers are
*There are four terms.
*The term -25/y is a ratio.
Step-by-step explanation:
NEED HELP PLZ! Will give brainliest, show all your work
Answers
he wouldn’t be able to use the full amount of cord so those are the most he could make
-1/4 multiplied by 1 1/2
Answers
Answer:
[tex]-0.375[/tex]
For more help, take a look at this chart.
plz help ill give brainliest In the kite , AK=15 , JK=39 , and AM=77 .
What is JM ?
Answers
Answer:
125 i think....
Step-by-step explanation:
Solve for h(x)=x(x+3)(x-2)
Answers
Answer:
Your answer is:
If you are solving to find x then your answer would have been: x = 0 , -3 , 2
If you are solving to find the x and y intercepts your answer is: ↓
x-intercept(s): (0,0) (-3,0) (2,0)
y-intercept(s): (0,0)
If you are solving to find roots your answer is: x = 0 , -3 , 2
If you want the graph look below ↓
Step-by-step explanation:
Hope this helped : )
please help, i need it done soon
Answers
Answer:
Point C i think is: (33/8, 0)
Step-by-step explanation:
I hope this helps -w-
An ornament shaped like a sphere has a radius of 2.3 inches which measurement is closest to the volume of the ornament in cubic inches
Answers
Answer:
50.97in^3Step-by-step explanation:
Volume of a sphere
The expression for the volume of a sphere is given as
V=4/3πr^3
Given that the radius is 2.3in
Substitute r= 2.3 in the expression to find the volume of the sphere
V=4/3*3.142*(2.3)^3
V=4/3*3.142*(12.167)
V=4/3*38.23
V=152.9/3
V=50.97in^3
Therefore the volume of the ornament is 50.97in^3
CAN SOMEONE HELP ME PLS !!! RIGHT ANSWERS ONLY PLS <333
Answers
Answer:
90*
Step-by-step explanation:
because a 90 degree rotation is to the right on its side
Answer:
90 degees is right
Step-by-step explanation:
I checked
Susan rides her bicycle 5 miles in 1/4 of an hour. At this rate, how many miles could she ride in 2 hours?
Answers
Answer:40 miles
Step-by-step explanation:
5*4=20
20*2=40
Answer:
40 miles
Step by Step Explanation:
Each 1/4 of an hour is 15 minutes. 2 hours is 120 minutes, so you divide 120 by 15, which gives you 8. You multiply 8 times the 5 miles , and you get 40 miles. :)
The perimeter of triangle ABC is 138 cm and BC || DE. Is triangle ABC = triangle ADE? Which conjecture supports your conclusion?
please help me it’s due in 30 minutes!!
Answers
Answer
yes triangle ABC is equal to triangle ADE
Step-by-step explanation:
x=46 cm, I got this after simplifying the equation of triangle ABC, x+4+x-4+x=138 cm, so this equation simplifies to 3x as +4-4 cancels out and there're 3 x's, so divide 138 by 3 and you get 46 cm, so AB is 50 cm, BC is 42 cm, and AC is 46 cm, this means EA is equal to EC, now here come a property of equality, EC attaches 2 parallel lines, as does DB, this means these 2 lines are transversals, so a number of angles are equal as well, corresponding angles are congruent, a.k.a equal to each other along with alternate interior angles, so since line DB AND line EC are transversals, we can deduce angle ADE is congruent to angle ABC, and angle DEA is equal to ACB, this mean we have 2 congruent angles, and 1 congruent set of sides, this mean that the 2 triangles are congruent due to Angle Angle Side, if your teacher doesn't use these terms, look it up, but the answer in short is yes, they are congruent or equal
We proved that ABC = triangle ADE by the concept of vertically opposite angles and given perimeter.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
We know when a transversal intersects two parallel lines vertically opposite angles are equal hence DE ≅ CB.
Given, (x + 4) + x + (x - 4) = 138.
3x = 138.
x = 46.
Now, BC = ED = (46 - 4) = 42 cm.
Assuming DA to be y.
∴ 46 + 42 + y = 138.
y = 50
And AB = x + 4 = 50 hence proving triangle ABC = triangle ADE.
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The figure shows three quadrilaterals on a coordinate grid: A coordinate plane is shown. Quadrilateral D has sides measuring 3 units and 1 unit. Quadrilateral F has sides measuring 3 units and 1 unit. Quadrilateral E has sides measuring 2 units and 6 units. Which of the following statements is true about the three quadrilaterals? D and E are similar but not congruent. E and F are similar and congruent. D and E are similar and congruent. F and D are similar but not congruent.
Answers
Answer:
A: D and E are similar but not congruent.
Step-by-step explanation:
hope this help
6>>>>>>>(3 3 )
4>>>>>>>( 1 2 )
3>>>>>>>( 1 4 )
5>>>>≥>>( 2 9 )
1>>>>>>>( ? )
7>>>>>>>( 5 4 )
Who will solve the above puzzle ?
Answers
Solve for x
X-5=-9
(10 points)
Answers
x-5 = -9
add 5 to both sides
x = -4
Answer:
x = - 4
Step-by-step explanation:
x - 5 = -9
=> x = -9 + 5
=> x = - 4
Pls halp due today thank you!
Answers
Answer:
k
Step-by-step explanation:
Y-Intercept = (0,4)
Equation = y=-8+4
rachelle can walk 2.5 miles in 40 minutes. at this rate how far
can she walk in an hour
Answers
Answer:
She could walk 3.75 miles in an hour.
U read 105 pages of a novel over 7 days.What is the mean number of pages you read each day.PLs answer this to get brainiest:)
Answers
Answer:
The mean is 15 pages a day.
Step-by-step explanation:
105/7=15
If the number of gallons of gas is known, can you find the number of miles driven?
Explain how this value could be calculated.
PLEASE SOMEONE HELP ME!!!!!!
Answers
Answer:
It cant
Step-by-step explanation:
car use gas at differnt rates
Cars use gas at different rates
How does the speed (miles per hour) represented by this relationship compare to that of the Peregrine Falcon?
Answers
12. Which of the following numbers is largest?
(a) 1.099
(b) 1.11
©). 1.106
(d) 0.99
(e) 1.009
Please show the work
Answers
Solve for s. 7 - 45 = -3s
Answers
Answer:
12.7=s
Step-by-step explanation:
First, write the equation and combine like terms.
7-45=-3s
-38=-3s
Next, divide both sides by 3.
-38=-3s
/-3 /-3
12.7=s (I rounded the answer.)
Hope this helps! Have a great day C:
Write the equation of the line that passes through the points (-7,9) and (-7,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answers
Answer:
It is a vertical line
Step-by-step explanation:
Find the slope using rise over run (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(1 - 9) / (-7 + 7)
-8/0
= undefined
Dividing by 0 gives you an undefined number. This means that the slope is undefined, and the line is a vertical line.
The equation of the line that passes through the points (-7,9) and (-7,1) is x = -7.
The point slope formula is represented below:
y - y₁ = m(x - x₁)where
m = slope
Let's find slope
(-7, 9)(-7, 1)
m = 1 -9 / -7 - (-7)
m = -8 / 0 = Undefined slope.
The slope is an undefined slope. Therefore, the line is a vertical line and cannot be written in a slope intercept or point slope form.
The equation of the line can be written as x = c.
where
c = constant
Therefore,
x = -7
The equation is x = -7
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Earth is 148.61 million km from the sun in scientific notation it is
Answers
Answer:
1.48x10^2 ten to the second
Step-by-step explanation:
Cassie has a rectangular window that is 40 Inches long and 25 inches wide. She wants to put a metal frame around the edges of her window. How many inches of metal frame will she need? Please help me
Answers
Answer:
she will need 130 inches lf metal
Step-by-step explanation:
One side lf the window is 40 and the other side lf the window is 25 ,so just multiply those by 2.That will give you 50 and 80 just add those together and you get 130
Jayden is driving on a long road trip. He currently has 11 gallons of gas in his car. Each hour that he drives, his car uses up 0.75 gallons of gas. How much gas would be in the tank after driving for 4 hours? How much gas would be left after tt hours?
Answers
Answer:
8 gallons left
Step-by-step explanation:
0.75 times 4=3
11-3=8
hope this helps :)
8) On Tuesday Heather bought six hats. On
Wednesday half of all the hats that she had
were destroyed. On Thursday there were
only 19 left. How many did she have on
Monday?
PLS HELP
Answers
Answer: On Monday, Heather had 32 hats.
Step-by-step explanation: After Heather bought six hats on Tuesday, she had double the amount of 19, since half of her hats were destroyed on Wednesday resulting in 19 left. Double of 19 is 38 hats, meaning she had 38 after she bought six on Tuesday. That means on Monday she had 38 - 6 = 32.