Question

answer attempt 1 out of 2
f(-4)= - 64, meaning when the width of the rectangular area is 4 ft, the area would be - 64 ft². this interpretation does not make sense in the context of the problem.
f(7.5)=33.75, meaning when the width of the rectangular area is ft, the area would be ft². this interpretation in the context of the problem.

Explanation:

Step1: Analyze the function - value meaning

The function $f(x)$ gives the area of a rectangle for a given width $x$. When $x = 7.5$, $f(7.5)=33.75$.

Step2: Fill in the blanks

The width is $7.5$ ft and the area is $33.75$ ft². This interpretation makes sense in the context of the problem as area and width are positive - valued real - world measurements.

Answer:

The first blank is $7.5$, the second blank is $33.75$, and the third blank is "makes sense".