Question

Diego's family truck holds 21 gallons of fuel. Each day the car uses 1.5 gallons of fuel. A warning light comes on when the remaining fuel is 2.5 gallons or less. Starting from a full tank, can Diego's family drive the car for 10 days without the warning light coming on? Explain or show your reasoning. Starting from a full tank, can Diego's family drive the car for 15 days without the warning light coming on? Explain or show your reasoning. Diego says the expression 21 - 1.5t helps him understand this situation. In this situation, what does this expression represent, and what does the variable t stand for? Write and solve an equation to determine the number of days Diego's father can drive the car without the warning light coming on. 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

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

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