Question

2. Last week, Abe's carpet store sold 160 square feet of a particular carpet for $878.40. Bob's carpet store sold 85 square feet of the same carpet for $466.65

a. Is Cost proportional to area for this carpet? Show all relevant calculations and then explain your conclusion in a full sentence.


b. Answer ONE of the questions below depending on whether or not cost is proportional to area for this carpet

if cost is proportional to area, what is the cost of 118 square feet of carpet? Show your work. Use dimensional analysis

if cost is not proportional to area, which store has the better unit price for carpet explain your choice.

Answer 1

The cost of the carpet is directly proportional to the area of the carpet. Then the cost of the carpet when the area is 118 square feet will be $647.82.

What are ratio and proportion?

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Last week, Abe's carpet store sold 160 square feet of a particular carpet for $878.40. Bob's carpet store sold 85 square feet of the same carpet for $466.65.

The cost of carpet per square foot in both cases will be

In the First case, we have

⇒ 878.40 / 160

⇒ $5.49 per square foot

In the second case, we have

⇒ 466.65 / 85

⇒ $5.49 per square foot

Then the cost of the carpet is directly proportional to the area of the carpet. Then the equation will be

Cost = 5.49 x Area

Then the cost of the carpet when the area is 118 square feet will be

Cost = 5.49 x 118

Cost = $647.82

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

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