Question

Write and solve an inequality that represents the number of days driven without the warning light coming on. Explain clearly what the solution to the inequality means in the context of this situation.

Answer 1

Answer:

0.6x < 12.5

x < 20.83 days

Step-by-step explanation:

Diego's family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less. Write an inequality that represents the number of days Diego's father can drive the car without the warning light coming on. Explain each part of your inequality

Car fuel capacity = 14 gallons

Fuel capacity that shows warning light = 1.5 gallons

Fuel capacity without warning light = Car fuel capacity - Fuel capacity that shows warning light

= 14 gallons - 1.5 gallons

= 12.5 gallons

Fuel used per day = 0.6 gallons

Let

x = number of days Diego's father can drive the car without the warning light coming on

The inequality is

0.6x < 12.5

Solve for x

x < 12.5/0.6

x < 20.83 days