Question

The graph shows the relationship between pounds of grapes, g, and their cost, c.

Answer 1

For every dollar you spend, you can get half a pound of grapes.
For every pound of grapes, you would need two dollars.

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Answer 2

Step 1

Let

x------> the cost in dollar

y-----> the pounds of grapes

$A(0,0)\ B(2,1)$

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $y/x=k$ or $y=kx$

The line in the graph represent a direct variation

Find the constant of proportionality k

$y/x=k$------> substitute point B -----> $1/2=k$

The slope is equal to the constant of proportionality

so

$m=0.50\ \frac{pounds}{\ }$

the linear equation is $g=0.50c$

therefore

the answer Part a) is

For every dollar you spend, you can get $0.50$ pounds

Step 2

Find the cost for one pound of grapes

Let

$g=1\ pound$

substitute the value of g in the linear equation and solve for c

$g=0.50c$

$1=0.50c$

$c=1/0.50=2$

therefore

the answer Part b) is

For each pound of grapes, you would need  $2$