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

Use the graph to complete the statements.
a) For every dollar you spend, you can get _________
pounds of grapes.
b) For each pound of grapes, you would need $__________

The graph shows the relationship between pounds of grapes g and their cost c Use the graph to complete the statements a For every dollar you spend you can get p class=

Respuesta :

SPYSEYNOCHOS
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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calculista

Step 1

Let

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

y-----> the pounds of grapes

[tex]A(0,0)\ B(2,1)[/tex]

we know that

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

The line in the graph represent a direct variation

Find the constant of proportionality k

[tex]y/x=k[/tex]------> substitute point B -----> [tex]1/2=k[/tex]

The slope is equal to the constant of proportionality

so

[tex]m=0.50\ \frac{pounds}{\$}[/tex]

the linear equation is [tex]g=0.50c[/tex]

therefore

the answer Part a) is

For every dollar you spend, you can get [tex]0.50[/tex] pounds

Step 2

Find the cost for one pound of grapes

Let

[tex]g=1\ pound[/tex]

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

[tex]g=0.50c[/tex]

[tex]1=0.50c[/tex]

[tex]c=1/0.50=2\$[/tex]

therefore

the answer Part b) is

For each pound of grapes, you would need  [tex]2\$[/tex]

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