A geologist estimates that the volume of a boulder is greater than $1…

Question

Prompt

A geologist estimates that the volume of a boulder is greater than

14.6

cubic feet but less than

18.6

cubic feet. The geologist also estimates that the boulder weighs

160

pounds per cubic foot of volume. Which inequality represents this situation, where

x

represents the estimated total weight, in pounds, of the boulder?

160 - 18.6 < x < 160 - 14.6

160 + 14.6 < x < 160 + 18.6

160 (14.6) < x < 160 (18.6)

\frac{160}{18.6} < x < \frac{160}{14.6}