Answer:
Pat a) The unit rate of graph at left is [tex]25\ \frac{grams}{cup}[/tex]
Part b) The unit rate of graph at right is [tex]40\ \frac{grams}{cup}[/tex]
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
[tex]k=\frac{y}{x} [/tex]
we have the point (1,25)
substitute the values in the formula
[tex]k=\frac{25}{1}=25\ \frac{grams}{cup}[/tex]
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
[tex]k=\frac{y}{x} [/tex]
Is necessary only one point to determine the constant of proportionality
take the point (2,80)
substitute the values
[tex]k=\frac{80}{2}=40\ \frac{grams}{cup}[/tex]
Verify
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have the points (2,80) and (3,120)
substitute the values
[tex]m=\frac{120-80}{3-2}[/tex]
[tex]m=\frac{140}{1}=40\ \frac{grams}{cup}[/tex]
