Anita is filling a pool with water. Currently, there are 60 gallons of water in the pool, and she is filling the pool at a rate of 50 gallons every 5 minutes. She wants to fill the pool with at least 200 gallons of water. Enter an inequality that represents all possible values for the number of minutes (m) that it will take to fill the pool. $$

Step-by-step explanation:

Given

Current = 60 gallons

Rate = 50 gallons per 5 minutes

Expected = At least 200 gallons

Required

Determine the inequality that represents the scenario

First, we need to calculate the unit rate

Rate = 50 gallons per 5 minutes

This implies 10 gallons per minute

The inequality is then calculated as thus:

Where m represent the number of minutes

At least 200 means greater than or equal to 200.

So, we have:

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: