Question

1. using a water hose for 40 minutes used up 130.00 total gallons of water. write an equation that can be used to express the relationship between the total gallons used (t) and the minutes(m) used.

Explanation:

Step1: Find the rate of water usage

First, we find the rate of water usage (gallons per minute). The rate \( r \) is total gallons divided by total minutes. So \( r=\frac{130}{40}=\frac{13}{4} = 3.25 \) gallons per minute.

Step2: Write the equation

The total gallons used \( t \) is equal to the rate \( r \) multiplied by the number of minutes \( m \). So the equation is \( t = 3.25m \) (or \( t=\frac{13}{4}m \)).

Answer:

\( t = 3.25m \) (or \( t=\frac{13}{4}m \))