Question

1. the amount of fuel in litres, f, that is left in the tank of a certain vehicle can be found using the following formula, where d is the distance in kilometres driven since the tank was full. how far can the vehicle travel on 45 l of fuel?

f = -0.074d + 77.5
method #1: substitute & rearrange method 2: rearrange & substitute

Explanation:

Step1: Substitute f = 45 into formula

$45 = -0.074d + 77.5$

Step2: Isolate the term with d

$-0.074d = 45 - 77.5$

Step3: Calculate right-hand side value

$-0.074d = -32.5$

Step4: Solve for d

$d = \frac{-32.5}{-0.074}$

Step5: Compute final distance value

$d \approx 439.19$

Answer:

The vehicle can travel approximately 439.2 kilometres on 45 L of fuel.