Based on the table, which function models this situation?
a. f(n) = -3n + 24
b. f(n) = -(1/3)n + 16
c. f(n) = -3n + 64
d. f(n) = -(1/3)n + 8
please show how you got the answer!
Answers
Answer:
A is correct. f(n) = -3n + 24
Step-by-step explanation:
We can see in the first two steps that two meals have been served, and six cups of pet food consumed. In other words, six cups are consumed in two meals, therefore three cups are consumed in each meal.
If we look at the remaining numbers on the chart, we can see that this carries through. This tells us that the correct answer must be either a or b, as "-3n" represents the consumption rate. If it were (1/3)n, then only a third of a cup would be consumed per meal.
Finally, we can figure out which of those two equations is correct simply by plugging a value pair into them. Starting with a:
f(1) = -3(1) + 24
= 24 - 3
= 21
correct.
To be certain, let's check with answer c:
f(1) = -3(1) + 64
= 64 - 3
= 61
incorrect.
So we can clearly say that the correct answer is "a". You can plug the other values into it to test that too:
f(3) = -3(3) + 24
= 24 - 9
= 15
correct
So we definitely have the right answer.
Related Questions
80 POINTS
Which correctly describes a cross section of the right rectangular prism if the base is a rectangle measuring 15 inches by 8 inches? Select three options..
A cross section parallel to the base is a rectangle measuring 15 inches by 8 inches.
A cross section parallel to the base is a rectangle measuring 15 inches by 6 inches.
A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.
A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 4 inches by 15 inches.
A cross section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.
Answers
ANSWER:
A cross section parallel to the base is a rectangle measuring 15 inches by 6 inches.
A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.
A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 4 inches by 15 inches.
A cross section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.
Step-by-step explanation:
HOPE IT HELPS
#CARRYONLEARNING
Answer:
1, 3, 5. *please report my answer if it is incorrect.*
Step-by-step explanation:
A cross-section parallel to the base is a rectangle measuring 15 inches by 8 inches.
A cross-section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.
A cross-section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.
the probability that a particular song is played is 76%. What is the probability that this song will be played on exactly 2 days out of 6 days? Round your answer to the near
Answers
Answer:
0.0287
Step-by-step explanation:
Using the binomial probability relation :
p = 0.76
q = 1 - p = 1 - 0.76 = 0.24
P(x = x) = nCx * p^x * q^(n-x)
P(x = 2) = 6C2 * 0.76^2 * 0.24^4
P(x = 2) = 15 * 0.76^2 * 0.24^4
P(x = 2) = 0.02874507264
P(x = 2) = 0.0287
Find the values of x, y, and z
Answers
5
Select the correct answer.
A circle has a radius of 6 inches and a central angle of 60°. What is the measure of the arc length associated with this angle?
ОА.
67 inches
B. 7 inches
OC, 24 inches
D.
37 inches
Reset
Next
Answers
Answer:
The length of the arc is 6.28 inches
Step-by-step explanation:
Given
[tex]\theta = 60[/tex]
Required
Length of the arc
This is calculated as:
[tex]L = \frac{\theta}{360} * 2\pi r[/tex]
So, we have:
[tex]L = \frac{60}{360} * 2 * \frac{22}{7} * 6[/tex]
[tex]L = \frac{15840}{2520}[/tex]
[tex]L = 6.28in[/tex]
Someone plz help meeeee!!!!
Answers
AND
The median age is 11
Debbie bought 3 bags of potato chips at $3.19 each. How much change
will she get back from a $20.00 bill? *
Answers
Answer:
$16.81
Step-by-step explanation:
$20.00 - $3.19 = $16.81
2.25 gal = _______?qt
Answers
Ummm I think the answer is 9
Please please Pleas answer this question please please
Answers
Answer:
3 can
Step-by-step explanation:
there
I need help!
*accidentally clicked 64 don’t know if it’s right tho*
Answers
Answer:
72
Step-by-step explanation:
8 times 9 is 72
Select the correct answer.
Consider function f and its graph.
f(x) = 1/2sin(2x)
what is the amplitude of this function? a. 1 b. pi/2 c. pi/4 d. 1/2
Answers
Answer:
1/2
Step-by-step explanation:
The amplitude is 1/2.
The amplitude of the sin function is 1/2.
We have given the function
f(x) = 1/2sin(2x)
What is the general equation of the sin wave?y(x,t)=Asin(kx−ωt+ϕ)
A is the amplitude of the wave.
ω is the wave's angular frequency.
k is the wavenumber
ϕ is the phase of the sine wave
Compare the given equation with the general formula of the sin wave.
Therefore we get,
y(x,t)=f(x)
A=1/2
Therefore the amplitude of the sin function is 1/2.
To learn more about the amplitude visit:
https://brainly.com/question/25699025
#SPJ2
Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. (Round your answer to four decimal places. Enter your answers as a comma-separated list.) (See attachment)
c = ?
Answers
Answer:
Step-by-step explanation:
f'(x)=-sin x
[tex]f'(x)=\frac{cos \frac{\pi }{3} -cos (\frac{-\pi }{3}) }{\frac{\pi }{3} -(\frac{-\pi }{3}) } \\-sin x=\frac{\frac{1}{2} -\frac{1}{2} }{\frac{\pi }{3} +\frac{\pi }{3} } \\sin x=0\\at x=c ,sin c=0,c=0[/tex]
c=0∈(-π/3,π/3)
What is 2² x 5 ? Some help me please !
Answers
Answer: 20
Step-by-step explanation:
2²=2×2=4
4×5=20
You leave the Calmecac at 7 (-4,-5) and head toward the Eagle Gate at (0, -8). How many units did you travel?
Answers
Answer:
Solution given:
(x1,y1)=(-4,-5)
(x2,y2)=(0,-8)
distance=?
we have
distance=[tex] \sqrt{(x2-x1) ²+(y2-y1) ²}[/tex]
d=[tex] \sqrt{(0+4)²+(-8+5) ²}[/tex]
d=[tex] \sqrt{25}[/tex]
d=[tex] 5[/tex]units
[tex] 5[/tex]units I travelled.
Ignore the answers and please help rn
Answers
8 X 10-3 is how many times as great as 4X 10-6
Answers
Answer:
[tex]2X10^{3}[/tex]
Step-by-step explanation:
(Help please !)
Of the total babies born in America, 51.2% are boys. If 3000 babies are born in a certain hospital this year, what is the expected number of boys?
Answers
Answer:
1536 boys.
Step-by-step explanation:
Quite simple! 51.2% is 0.512, which we can use to calculate the number.
[tex]3000 * 0.512 = 1536[/tex] boys.
Alternative notation: 3000 * 51.2% = 1536
Whats the area of this thing
Answers
Answer:
341 in sq
Step-by-step explanation:
When you are finding the area of trapezoids you have to do b1+b2/2 times height because there are two bases you have to include them both so adding 40 and 22 gives 62 and you have to divide that by 2 because the numbers will be too big and way off so 62/2 = 31 and you multiply that by the height to get 341 in sq. Hope it helps :P
4. A video club costs $20 to join. Each video that is rented costs $2.25. Let v represent the number of videos.
Identify the independent and dependent variables. Then, write a rule in function notation for the situation.
a. Independent: videos rented; Dependent: total cost; f(v) = 2.25v - 20
b. Independent: videos rented; Dependent: total cost; f(v) = 2.25y + 20
c. Independent: videos rented; Dependent: total cost; f(v) = 20v +2.25
d. Independent: total cost; Dependent: videos rented; f(v) = 20v – 2.25
Answers
Answer:
B.
Step-by-step explanation:
$2.25 is the cost of each video that is rented, so $2.25 times v (or 2.25v) represents the cost of 'v' videos.
$20 is the constant, as it costs $20 to join the club. Since this doesn't change, it is the constant.
So, we would have the equation:
f(v) = 2.25v + 20
f(v) is the total cost.
B is your answer because it is the only one with the correct equation.
Hope this helps!
Solve for x, rounding to the nearest hundredth.
6 - 10x= 1
Answers
peeeeeeeeeeeeeeeeeeeeeeeeeenas
Answer this simple quick question!! Pls :) m
Answers
Answer:
Answer is B!
Step-by-step explanation:
58 * 20 = 1160
0+160= 160
160+1000=1160
Answer:
B
Step-by-step explanation:
58 * 20 is 1160 and 0 + 160 + 1000 = 1160
Omar, Hala and Lujain got paid a total of $240 for cleaning neighborhood cars. They split the money in the ratio of 5: 9: 10. What is the ratio of Lujain's earning to total earning?
Answers
The ratio of Lujain's earning to total earning is equal to $100.
Given the following data:
Total amount = $240.Ratio = 5:9:10Sum of ratio = [tex]5+9+10[/tex] = 24.To determine the ratio of Lujain's earning to total earning:
How to calculate a ratio.In this exercise, you're required to calculate the total amount of money that Lujan would earn from the given ratio. Thus, we would solve as follows:
For a ratio of 10:
[tex]Amount=\frac{10}{24} \times 240\\\\Amount=\frac{2400}{24}[/tex]
Amount = $100.
Read more on ratio here: brainly.com/question/13513438
20 points and brainly ;) You earned $1600 in interest in your savings account over 10 years at a rate of 8%. How much money did you originally deposit into your savings account?
Answers
A = p(1+r)^t
1600 = p(1+0.08)¹⁰
P = 1600/2.1589
P= 741.12
741.12 dollar money did you originally deposit into your savings account!
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!!
The legs of a right triangle are
___ longer than the hypotenuse.
a.) sometimes
b.) always
c.) never
Answers
Answer:
C. Never
Step-by-step explanation:
The legs of a right triangle are never longer than the hypotenuse. Otherwise, the legs would never connect to the hypotenuse.
A cone has a slant height of 6 inches and a lateral surface area of
47.1 square inches. What is the base radius of the cone?
Answers
Answer:
Radius, r = 2.50 inches
Step-by-step explanation:
Given the following data;
Slant height of cone = 6 inches
Lateral surface area (LSA) of cone = 47.1 sq inches
To find the radius of the cone;
Mathematically, the lateral surface area of a cone is given by the formula;
LSA = πrl
47.1 = 3.142 * r * 6
47.1 = 18.852r
Radius, r = 47.1/18.852
Radius, r = 2.50 inches
The diagonal of a rectangle is 30 inches and the length of the rectangle is 24 inches.
What is the AREA of the rectangle?
Answers
Answer:
area=432
Step-by-step explanation:
use the Pythagoras theory now that you know the width and you'll get the length and the width then you multiply both of them hope it helps you.
HELPPPP!!! On average, a gym claims that 65% of its members renew their memberships each year. If the gym has 440 members, predict how many will renew their members.
Answers
Answer:
260 people will renew their memberships
Step-by-step explanation:
Find the answer for x
Answers
Answer:
I think the answer is 75.
Step-by-step explanation:
because 35 + 70 is equal to 105. So now we will just subtract 105 by 180. which will give us 75.
find the coordinates of p(-2,2)and PQ vector(6,3) find
Answers
Answer:
A good website to use when you need help with this is called desmos.
Step-by-step explanation:
If you roll a standard six sided dice, what is the probability you will roll a four?
Answer using a simplified fraction.
Answers
Answer:
1/6
Step-by-step explanation:
There are 6 sides on a dice. Every time you roll you you will have one of those sides. So it is a 1 in 6 chance of you getting 4, meaning that the answer to this problem is 1/6
VI
Use the table to answer the question.
* 0 1 3 4 6
y 0 1 9 16 36
Which equation represents the relationship between x and y in the table?
O A y=x²
O B. y = xo
O
C. y = 4x - 3
.
D. y = (x + 1)2
Answers
Answer:D hope it helped
Step-by-step explanation:
Answer:
d I think tbh I don't know
Step-by-step explanation:
you take them and times it by the number you had