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jok3333
1 month ago
15

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

Mathematics
2 answers:
Inessa [12.5K]1 month ago
5 0
Spending one dollar allows you to buy half a pound of grapes.
To purchase one pound of grapes, you need to pay two dollars.

I hope this clarifies things! If so, please show some appreciation. Have a wonderful day!
AnnZ [12.3K]1 month ago
3 0

Step 1

Define variables:

x – cost in dollars

y – weight of grapes in pounds

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

We know that the relationship between x and y represents direct variation if it follows the form y/x=k or y=kx.

The line illustrated in the graph represents such a direct variation.

Determine the proportionality constant k.

y/x=k – substitute coordinates of point B –> 1/2=k

The slope corresponds to the constant of proportionality.

Therefore,

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

The linear equation is g=0.50c.

Hence,

Answer to part (a):

You can obtain 0.50 pounds of grapes per dollar spent.

Step 2

Calculate the cost per pound of grapes.

Let

g=1\ pound

Insert the value of g into the equation and solve for c.

g=0.50c

1=0.50c

c=1/0.50=2\$

Therefore,

Answer to part (b):

The price is 2\$ for each pound of grapes.

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