Question

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
??

Answer 1

Answer:121

Step-by-step explanation:dwvgllllllllllllllllllllllljjjjjjjjjjjjjj

Answer 2

Pat a) The unit rate of graph at left is
`25\ (grams)/(cup)`

Part b) The unit rate of graph at right is
`40\ (grams)/(cup)`

see the attached figure

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

`k=(y)/(x)`

we have the point (1,25)

substitute the values in the formula

`k=(25)/(1)=25\ (grams)/(cup)`

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

`k=(y)/(x)`

Is necessary only one point to determine the constant of proportionality

take the point (2,80)

substitute the values

`k=(80)/(2)=40\ (grams)/(cup)`

Verify

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

`m=(y2-y1)/(x2-x1)`

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

substitute the values

`m=(120-80)/(3-2)`

`m=(140)/(1)=40\ (grams)/(cup)`