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

because 1.2 isnt half of 6 duh

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: