The cost of photographic paper is nearly proportional to the area of the paper. You own a painting whose dimensions are 24 inches by 30 inches. You create a small photographic reproduction whose smaller side is 5 inches, and a large photographic reproduction whose smaller side is 8 inches. If the paper required for the small reproduction costs $1.50, how much will the paper required for the large reproduction cost?
A) $1.90
B) $2.40
C) $3.84
D) $4.50

Question

Quizplus · Accepted Answer

The cost of the small reproduction can be related to the cost of the large reproduction by using the ratio of their areas:

(area of small reproduction / area of large reproduction) = (cost of small reproduction / cost of large reproduction)

Since the smaller side of the small reproduction is 5 inches and the smaller side of the large reproduction is 8 inches, the ratio of their areas is:

(5/8)^2 = 25/64

Since we know the cost of the small reproduction is $1.50, we can solve for the cost of the large reproduction:

(25/64) = 1.5 / cost of large reproduction
cost of large reproduction = 3.84

Therefore, the paper required for the large reproduction will cost $3.84, which is option C.

The Cost of Photographic Paper Is Nearly Proportional to the Area