The amount of gas g in gallons in a cars gas tank days after

The amount of gas g in gallons in a car\'s gas tank days after a fill-up is modeled by g(t) = -0.5t^2 - 1.5t + 25 for 0 lessthanorequalto t lessthanorequalto 5. Find and interpret the average rate of change of g over the interval [0, 5]. Show work.

Solution

average rate of change of g over the interval [0,5] is =[g(5)-g(0)]_/(5-0)

average rate of change of g over the interval [0,5] is =[(-0.5*5² -1.5*5 +25)-(-0.5*0² -1.5*0 +25)]_/(5-0)

average rate of change of g over the interval [0,5] is =[(-12.5 -7.5 +25)-(-0 -0 +25)]_/5

average rate of change of g over the interval [0,5] is =[-12.5 -7.5 ]_/5

average rate of change of g over the interval [0,5] is =-20_/5

average rate of change of g over the interval [0,5] is =-4

gas in tank is decreasing at the rate of 4 gallons per day for the first 5 days after a fill-up