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Timothy bought 10 cookies for $5.00. Let x represent the number of cookies purchased, and let y represent the total cost. Graph the line that represents the proportional relationship.

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Answer

The line that represents the proportional relationship is
y=0.5x. Check the graph in the picture.

Explanation

We know that x represent the number of cookies purchased and y represent the total cost, so the unit cost of the cookies, which is the slop of the line, will be given by
m=(y)/(x)

where


m is the slope of the line


y is the total cost


x is the number of cookies

We know that Timothy bought 10 cookies for $5.00, so
x=10 and
y=5. Let's replace the values to find the slope of our line:


m=(y)/(x)


m=(5)/(10)


m=0.5

Now that we have the slope of our line, we can find the equation for the total cost of
x cookies:


m=(y)/(x)


0.5=(y)/(x)


0.5x=y


y=0.5x

Finally, to graph our line, we just need to plot tow points. We already know that Timothy bought 10 cookies for $5.00, so one point is (10, 5)

To find another point we can plug any number between 1 and 10 (the possible number of cookies Timothy can buy) for
x in our line equation. Let's say that the other point will be the total cost of 8 cookies, so
x=8


y=0.5x


y=0.5(8)


y=8

Therefore, our second point is (8, 4)

Now we can join our point with our line as shown in the picture.


Timothy bought 10 cookies for $5.00. Let x represent the number of cookies purchased-example-1
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