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?

Respuesta :

Answer:

[tex]\$58.50[/tex]

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

[tex]y=mx+b[/tex]

where

m is the rate or slope

b is the y-intercept or initial value

In this problem we have that

[tex]m=\$2.75\ per\ thousand.\ gallons[/tex]

[tex]b=\$20[/tex]

substitute

The linear equation that represent this situation is

[tex]y=2.75x+20[/tex]

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

[tex]y=2.75(14)+20[/tex]

[tex]y=\$58.50[/tex]