Problema Solution
1. Imagine you are at a gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation
a. What does the number 3.03 represent?
b. Find C(2).
c. Find C(9).
d. For the average motorist, name one value for g that would be inappropriate for this function’s purpose. Explain why you chose that number.
e. If you were to graph C(g), what would be an appropriate domain and range? Explain your reasoning.
Answer provided by our tutors
a. M = slope
b. C(2) = 3.03(2) = 6.06
c. C(9) = 3.03(9) = 27.27
d.The inappropriate function would be a negative number such as - 2 because a negative number cannot equal the cost of a gallon of gas
e. domain is from 0 to infinity and the range is from 0 to infinity. If one were to reason that someone pumping gas can have a maximum gas tank capacity of 20 gal then the domain is 0 to 20 and the range is from 0 to 60.60