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

y = 4x

y = 4.2x

In a linear function of the form , 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:

where  

is the slope/rate of the line

are the coordinates of the first point on the line

are the coordinates of the second point

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

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.

51840000 cm 2

step-by-step explanation:

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b