The graphs show the amount of sugar in two kinds of juice.
drag to the table the unit rate, in grams of sugar per cup, that matches each
graph
? ?

Pat a) The unit rate of graph at left is

Part b) The unit rate of graph at right is

see the attached figure

Step-by-step explanation:

we know that

The unit rate of a linear equation is the same that the slope of the linear equation

step 1

Find the slope of the graph at left

This graph represent a proportional relationship (because the line passes through the origin)

The slope is equal to the constant of proportionality k

we have the point (1,25)

substitute the values in the formula

step 2

Find the slope of the graph at right

we have the points (2,80) and (3,120)

This graph represent a proportional relationship (because the line passes through the origin)

The slope is equal to the constant of proportionality k

Is necessary only one point to determine the constant of proportionality

take the point (2,80)

substitute the values

Verify

The formula to calculate the slope between two points is equal to

we have the points (2,80) and (3,120)

substitute the values

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )