Question

A bottle of water cost $1.50 explain how you would make a graph of four ordered pairs to model the total cost of the water in terms of the number of bottles

Answer 1

The graph in the attached figure

see the explanation

Explanation:

Let

x -----> the number of bottles

y ----> the total cost of the water

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
`y/x=k` or
`y=kx`

This problem represent a direct (proportional) variation

so

For x=1, y=$1.50

`k=y/x` ----->
`k=1.50/1=1.50`

The linear equation is equal to

`y=1.50x`

Find the ordered pairs

First

(1,1.50)

Second

For x=2

Find the value of y

Substitute in the equation

y=1.50(2)=3

The point is (2,3.00)

Third

For x=3

Find the value of y

Substitute in the equation

y=1.50(3)=4.50

The point is (3,4.50)

Fourth

For x=4

Find the value of y

Substitute in the equation

y=1.50(4)=6.00

The point is (4,6.00)

The four ordered pairs are

(1,1.50), (2,3.00),(3,4.50) and (4,6.00)

using a graphing tool

plot the points