Question

A water company charges $20 for service and $2.75 for every thousand gallons of water used in month. Construct a linear model to represent the water bill; how much would you be charged if you used 14-thousand gallons of water this month?

Answer 1

Answer:

$\ 58.50$

Step-by-step explanation:

Let

x -----> thousand. gallons of water used in month

y ----> the total charge in dollars

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the rate or slope

b is the y-intercept or initial value

In this problem we have that

$m=\ 2.75\ per\ thousand.\ gallons$

$b=\ 20$

substitute

The linear equation that represent this situation is

$y=2.75x+20$

so

If you used 14-thousand. gallons of water this month

then

x=14

substitute the value of x in the linear equation and solve for y

$y=2.75(14)+20$

$y=\ 58.50$