Mathematics: 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

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Printer a has a greater rate than printer b.

Ответ:

2005briana

13.03.2022

Mathematics

Answer

y = 4x

y = 4.2x

Explanation

In a linear function of the form y=mx+b , 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:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

where

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 :

$m=\frac{12.75-4.25}{3-1}$

$m=\frac{8.5}{2}$

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.

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