Question

lesson 22 | session 2 a scientist is studying the digging behavior of black - footed ferrets. a. one ferret digs 465 cubic centimeters of soil from a burrow in 5 minutes. based on this digging rate, write an equation that can be used to predict the amount of soil, s, in cubic centimeters the ferret can dig from a burrow in m minutes. show your work.

Explanation:

Step1: Find the digging rate per minute

The ferret digs 465 cubic centimeters in 5 minutes. To find the rate per minute, we divide the total volume by the time. So the rate \( r \) is \( \frac{465}{5} \) cubic centimeters per minute.
\( \frac{465}{5} = 93 \)

Step2: Write the equation for volume in \( m \) minutes

The volume \( s \) (in cubic centimeters) dug in \( m \) minutes is the rate multiplied by time. So the equation is \( s = 93m \)

Answer:

\( s = 93m \)