A gas company has the following rate schedule for natural gas usage in single-family residences:

Question

Monthly service charge

Per therm service charge 1st 25 therms

Over 25 therms

$8.80
$0.6686/therm $0.85870/therm

What is the charge for using 25 therms in one month? Show your work. What is the charge for using 45 therms in one month? Show your work. Construct a function that gives the monthly charge C for x therms of gas.

Answer 1

If you mean,
Monthly service charge: $8.80
Per therm service charge 1st 25 therms: $0.6686/therm
Over 25 therms: $0.85870/therm

therefore for the first 25 therms in a month,
8.80 + 0.6686(25) = ?

and for 45 therms in a month,
8.80 + 0.6686(25) + 0.85870(45-25) = ?

For x therms in a month,
Between zero and 25:
f(x) = 8.80 + 0.6686x for 0 ≤ x ≤ 25

Greater than 25:
f(x) = 8.80 + 0.6686(25) + 0.85870(x-25) for x > 25
Just simplify this function.

hope this helps~ `u`

Answer 2

Thank you !!