Praxis 5511 Practice Test Practice Question
Marlene bought a circular rug with a radius of 3 feet for a total cost of $169. Which of the following is closest to the cost per square foot of the rug?
Correct Answer: B
Rationale: To determine the cost per square foot of the rug, first, calculate its area using the formula for the area of a circle: A = πr². With a radius of 3 feet, the area is approximately 28.27 square feet (using π ≈ 3.14). Next, divide the total cost of $169 by the area: $169 ÷ 28.27 ≈ $5.97 per square foot, which rounds to about $6.
Option A ($6) is close but underestimates the cost per square foot. Options C ($18) and D ($24) significantly overestimate the cost, indicating a misunderstanding of the calculations involved. Thus, option B ($12) is the closest estimate, reflecting a more accurate interpretation of the cost per square foot.
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