Question

Elyse uses 42 gallons of water in a 10-minute shower. Write and solve a prediction problem that uses this information

Answer 1

Let

x-----> the time in minutes

y------> the number of gallons of water

we know that

the unit rates is equal to

$\frac{y}{x} = \frac{42}{10}=4.2\frac{gal}{min}$

the unit rate is equal to the slope of the linear equation

then

$y=4.2x$

Problem

1) How many gallons of water will Elyse use in three minutes in the shower?

For x=3 minutes

substitute in the equation above

$y=4.2x$

$y=4.2*3$

$y=12.6 gal$

the answer is

12.6 gal