Question

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

Answer 1

Answer:

The inequality is $0.6x < 12.5$

The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days

Step-by-step explanation:

14 gallons-1.5 gallons=12.5 gallons  

we know that

If the remaining fuel is greater than  1.5 gallons Diego's father can drive the car without the warning light coming on  

so

Let

x ----> the number of days

$0.6x < 12.5$ ----> inequality that represent the situation

Solve for x

$x < 12.5/0.6$

$x < 20.8\ days$

The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days