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]