In May 2003 a gas company had the given rate schedule for na

In May 2003, a gas company had the given rate schedule for natural gas usage in single-family residences C = exist 88.28 (Do not round until the final answer. Then round to two decimal places as needed.) c) Construct a function that relates the monthly charge C for x therms of gas. C = { for 0 lessthanorequalto x lessthanorequalto 30 for x > 30 (Simplify your answer. Do not round until the final answer. Then round the constant value to two decimal places and the coefficient value to five decimal places. Do not include units.)

Solution

for 0 <= x <= 30

monthly chanrge C for x therm of gas is

C = .027214 x + .2837x + 13.25

C = .310914 x + 13.25

therms over 30

C = .20258 x + .2837x + 13.25

C = .48628x + 13.25