Question

Write a function rule for the total cost in dollars of gasoline if t gallons of gasoline for $4 per gallon.

a) f(t)=4t
b) f(t)=4+t
c) f(t)=4/t
d) f(t)=4t+4

Answer 1

The correct function rule for the total cost of gasoline when t gallons are purchased at $4 per gallon is f(t) = 4t, which assumes a linear relationship with no extra costs.

Step-by-step explanation:

The question requires writing a function rule for the total cost of gasoline based on the number of gallons purchased at a fixed price per gallon. If t represents the number of gallons of gasoline and the price per gallon is $4, the total cost f(t) is found by multiplying the number of gallons t by the price per gallon.

Therefore, the function rule is f(t) = 4t.

This assumes that there are no additional costs or discounts, and the total cost increases linearly as more gallons of gasoline are purchased. The correct option among the choices given is a) f(t)=4t.