Question

A fruit Shop sells dried fruit by the pound the cost for X pounds of raisins is represented by the equation y= 3.5x, where y is the total cost for X pounds. the cost for 4 pounds of dried cranberries is $18

Graph both proportional relationship on the grid to the right

which fruit has the lower unit price? Explain.

Answer 1

well one line takes the slope of y=3.5x

The cranberries take the slope of Y=4.5x

so raisins have the lowest unit price.

Explanation:

Answer 2

We know

`y=3.5x` represents the cost of
`x` pounds of raisins.

Also, cranberries costs $18 per 4 pounds.

So, to graph these proportions, we have to find the equation for cranberries, if 4 pounds costs $18, that means 1 pound of cranberries is $4.50, this is the ratio of change of cranberries, using this ratio, we can say that the relation is

`y=4.5x`

If you compare, cranberries are more expensive than raisins, the image attached shows both proportion graphed.

Therefore, raisins represent the lower unit price, $3.50 per pound, while cranberries represent the higher unit price, $4.50 per pound.