Question

For each of the following. a. write a let statement. b. set up a equation that represents the given situation. c. solve the question. d. answer the questions in units . your family is taking a long distance car trip. you begin with 16 gallons of gasoline in the fuel tank. your car uses 3 gallons of gasoline per hour of driving. you will stop to refuel when there is exactly 1 gallon of gasoline remaining in the tank. after how many hours must you stop to refuel

Answer 1

You must stop to refuel after 5 hours of driving, as the car begins with 16 gallons and consumes 3 gallons per hour, refueling when there is 1 gallon left in the tank.

Step-by-step explanation:

Let statement: Let t represent the number of hours driven.

Equation setup: The car starts with 16 gallons and consumes 3 gallons per hour.

We will refuel when there is 1 gallon left. The equation representing this situation is:

16 - 3t = 1

Solving the equation: To find the value of t, we subtract 1 from both sides to isolate the t term:

16 - 1 = 3t

15 = 3t

Now, divide both sides by 3 to solve for t:

t = 15 / 3

t = 5

Answer in units: You must stop to refuel after 5 hours of driving.