Question

Printer A has a greater rate than Printer B. Both printers print at a constant rate.

This table represents Printer A.

Time (min) 1, 3 ,5, 8
Number of pages printed 4.25, 12.75, 21.25, 34
Which equation could represent Printer B?

Time in minutes is represented by x and number of pages printed is represented by y.

Select each correct answer.

y = 4x

y = 4.4x

y = 4.6x

y = 4.2x

Answer 1

y=4x,y=4.2x is answers

Answer 2

y = 4x

y = 4.2x

Step-by-step explanation

In a linear function of the form
`y=mx+b`,
`m` represents the rate.

Since we know that printer A has greater rate than Pinter B, we should find the rate of printer A first. To do it, we will use the slope formula:

`m=(y_(2)-y_(1))/(x_(2)-x_(1))`

where

`m` is the slope/rate of the line

`(x_(1),y_(1))` are the coordinates of the first point on the line

`(x_(2),y_(2))` are the coordinates of the second point

From the table we can get the points (1, 4.25) and (3, 12.75), so
`x_(1)=1`,
`y_(1)=4.25`,
`x_(2)=3`, and
`y_(2)=12.75`. Let's replace those values in our formula to find
`m`:

`m=(12.75-4.25)/(3-1)`

`m=(8.5)/(2)`

`m=4.25`

Now we can compare the rate of Printer A with the possible rates form Printer B. Since the rate of Printer A is bigger than the one of printer B, the rate of Printer B must be less than 4.25. The only options that satisfy that condition are 4 and 4.2, so the possible equations from printer B are y = 4x and y = 4.2x.