A watering can dispenses water at the rate of 0.3 gallon per minute. The original volume of water in the can was 7 gallons. Which set of ordered pairs shows the volume of water in the can in gallons (y), as a function of time in minutes (x), from the first minute after the can starts dispensing water? (1 point)

{(1, 6.7), (2, 6.4), (3, 6.1)}
{(1, 7.0), (2, 6.7), (3, 6.4)}
{(6.7, 1), (6.4, 2), (6.1, 3)}
{(7.0, 1), (6.7, 2), (6.4, 3)}

Answers

Answer 1

Answer:

The correct ordered pairs are:

{(1, 6.7), (2, 6.4), (3, 6.1)}

Option A is correct.

Step-by-step explanation:

A watering can dispenses water at the rate = 0.3 gallon per minute

The original volume of water in the can = 7 gallons.

Which set of ordered pairs shows the volume of water in the can in gallons (y), as a function of time in minutes (x), from the first minute after the can starts dispensing water?

First making the function:

The the volume of water in the can in gallons is represented by y and  time in minutes is represented by x. Initially the volume is 7 gallons, after than water dispense at rate of 0.3 gallon per minute so, the function will be:

y=7-0.3(x)

Now, putting values to find ordered pairs

So, when time is 1 minute i.e x = 1

y=7-0.3(1)

y=7-0.3

y=6.7

So, when x=1, y=6.7 the ordered pair is: (1,6.7)

when time is 2 minutes i.e x = 2

y=7-0.3(2)

y=7-0.6

y=6.4

So, when x=2, y=6.4 the ordered pair is: (2,6.4)

when time is 3 minutes i.e x = 3

y=7-0.3(3)

y=7-0.9

y=6.1

So, when x=3, y=6.1 the ordered pair is: (3,6.1)

So, the correct ordered pairs are:

{(1, 6.7), (2, 6.4), (3, 6.1)}

Option A is correct.


Related Questions

Write an equation for the line with slope -5 and point (2,4).

Answers

Y = -5x + b
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4 = -5(2) + b
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Step-by-step explanation:

2 to the power of 4 - 6 divided 2

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Step-by-step explanation:

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A rift valley is forming.

Step-by-step explanation:

Both of the tectonic plates are moving away from eachother. That will cause a rift between the two plates.

The function f(x) is defined below. What is the end behavior of f(x)?
f(x)=123x^3+9x^4-768x-3x^5-189x^2+1260

Answers

Answer:

Rises to the left and falls to the right

Step-by-step explanation:

Use the degree and the leading coefficient to determine the behavior.

The end behavior will be as x approaches infinity, and negative infinity, f(x) approaches infinity.

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

The function f(x) is defined as;

f(x)= 123x³+9[tex]x^4[/tex] - 768x - 3[tex]x^5[/tex] - 189x² + 1260

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Write the coordinates of the vertices after a reflection over the line y = 1.

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*tuff scrolls

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Answer:

its a

Step-by-step explanation:

Which graph shows a proportional relationship that passes through the point (2, 1)?
A.
B.
C.
D.

Answers

The graph that shows a proportional relationship that passes through the point (2, 1) is Graph A.

Equation of a line

A line is defined as a shortest distance between two points. In order to determine the graph that shows a proportional relationship that passes through the point (2, 1), we will need to multiply the coordinate by a scale factor and determine whether the point is on the line.

Using a factor of 2;

New coordinate = 2(2, 1)

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Answer:

20%, 40%, 60%, 80%

Step-by-step explanation:

The correct order should be:
0 to 1/10 to 2/10 to 3/10 to 4/10 to 5/10 to 6/10 to 7/10 to 8/10 to 9/10 then to 1.

Write y= -1(x-4.5)^2 + 15.25 in standered form

Answers

Given:

The equation is

[tex]y=-1(x-4.5)^2+15.25[/tex]

To find:

The standard form of the given equation.

Solution:

We have,

[tex]y=-1(x-4.5)^2+15.25[/tex]

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The standard form of a quadratic equation is [tex]y=ax^2+bx+c[/tex]. So, we need to write the given equation in this form.

[tex]y=-(x-4.5)^2+15.25[/tex]

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The table below shows the number of pencils and pens three friends have in their backpacks.

Who has a greater ratio of pencils to pens?
A. Lydia
B . Angel
C . Elizabeth

Answers

Answer:

Angel has a greater ratio of pencils to pens.

i.e. Angle's pencils to pens = 3 / 2 or 63/42

Thus, option (B) is true.

Step-by-step explanation:

Considering the table

Lydia's Number of Pencils = 10

Lydia's Number of Pens = 7

Lydia's Pencils to Pens ratio = 10/7

Angel's Number of Pencils = 9

Angel's Number of Pens = 6

Angels's Pencils to Pens ratio = 9/6 = 3 / 2

Elizabeth's Number of Pencils = 12

Elizabeth's Number of Pens = 9

Elizabeth's Pencils to Pens ratio = 12/9 = 4 / 3

So, We get the inputs ratios such as:

Lydia's ratio:  Angels's ratio: Elizabeth's ratio

      10/7      :         3 / 2         :        4 / 3

As the least common denominator (LCD) is: 42

Rewriting as equivalent fractions with the LCD:

10/7            :         3 / 2         :        4 / 3

60 / 42       :        63/42       :       56/42

Sorting from least to greatest:

Sorting this table by the numerators of the equivalent fractions in order from least to greatest:

Elizabeth's ratio       :         Lydia's ratio       :    Angels's ratio:  

4/3                             :         10 /7                  :        3 / 2

56/42                        :          60 / 42             :         63/42

Therefore, Angel has a greater ratio of pencils to pens.

i.e. Angle's pencils to pens = 3 / 2 or 63/42

Thus, option (B) is true.

If a sales person earns a 37% commission and has a sell for $345. Determine the commission the salesperson will make

Answers

Answer:

128.39

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Answers

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Step-by-step explanation:

Answer:

The Net Force is the difference of force. In this case

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ool
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Answers

Answer:

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4(x - 1) + 3 - 2 ÷ 2

Answers

Answer:

no solution with given parts of equation

Step-by-step explanation:

4(x-1)+3-2/2=n

4(x+1)+3-1=n

4(x+1)+2=n

4x+4+2=n

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n-intercept = 6

Answer:

If you're looking for a simplified answer it would be: 4x-2

Step-by-step explanation:

I am kind of confused. ​

Answers

ok so your slope is -1/4 and your y-intercept is -2. the equation is y=mx+b. mx will always equal your slope and your b will always equal your y intercept. so the answer would be D :)
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Answers

4x+7 is the simplified answer

The required simplified expression of the given expression 10x -(-7+6x) is 4x - 7.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
To simplify the expression 10x -(-7+6x), we can apply the distributive property of multiplication over addition and simplify the expression inside the brackets first.

-(-7+6x) = -1×(-7) + (-1)×6x
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Substituting this result into the original expression gives:

10x -(-7+6x) = 10x + 7 - 6x

Now we can combine like terms by adding the x terms and the constant terms separately:

= (10x - 6x) + 7

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Answers

Answer:

The answer to your question is 2

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Step-by-step explanation:

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Answers

Answer:

x = 20°

Step-by-step explanation:

Lines and Angles

Rays PM and MQ divide the straight-line LN angle of 180° into three angles: 45°, 6x-5, and x.

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45 + 6x - 5 + x = 180

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a new pair of shoes for 60% off. what expression represents the total cost

Answers

Answer:

What was the origainal price?

Step-by-step explanation:

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need to fill out a chart (picture provided) of the statements and reasons for this equation.

Answers

The first reason is given, the second statement is -5x + 2 = -28, the third statement is -5x = -30, and the last reason is division property.

If you earn $13/hour and you work 2 hours overtime at a rate of time and a half, how much will you earn for each hour of overtime?

Answers

Answer:

32.50

Step-by-step explanation:

It is simple. You need to know the basics of money, fractions, and well... Math! :)

if you take 13 and multiply it by 2 you get 26

Take the 26 and put it aside ------------->         26

divide 13 in half. that would be 6.50

6.50 + 6.50 = 13      

Now get the 26 -------------------------->  26

and add 6.50 to 26.

That would be 32.50!

Please make sure to follow and like! :)

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!
Write an expression that is equivalent to 3k - 18

Answers

Hello,

Answer is 3(k-6)

Answer:

-18 + 3k

3k - 6

24k - 48

Step-by-step explanation:

thats just to name a few of the infinite possibilites

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Answers

Answer:

∠D = 18.4°

Step-by-step explanation:

use the formula

tanФ⁻¹ = y/x

where y = 3

           x = 9

plugin values into the formula:

tanФ⁻¹ = y/x

           = 3/9

tanФ⁻¹ = 0.3

     Ф = inv. tan 0.3

     Ф = 18.4°

therefore, the angle D = 18.4°

Nevaeh's car used 11 gallons to travel 352 miles. At what rate does the car use gas, in
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Answers

Answer:

32

Step-by-step explanation:

divide 352 by 11

The required rate for Nevaeh's car uses 32 miles per gallon of gas.

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Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations is called the arithmetic operator.

/ Division operation: Divides left-hand operand by right-hand operand

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The required rate of car use gas is the ratio of the total distance traveled by car to the number of used gallons for the car to reach its destination.

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And the number of used gallons = 11

the car uses gas = 352 miles / 11 gallons

the car uses gas = 32 miles per gallon

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Currently James has $600 in his bank account, while Lisa has $500 in hers.

Every Friday afternoon James withdraws $15. At the same time Lisa withdraws $12 knowing that she can't spend as much as James.

Will their account balances ever be equal? If they are ever equal, how many weeks will it take?

Answers

Answer:

Their account balances will never be equal.

Step-by-step explanation:

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Answer:

The answer is C. 10

Step-by-step explanation:

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Step-by-step explanation:

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