7. 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.
a. Starting from a full tank, can Diego’s family drive the car for 14 days without
the warning light coming on? Explain or show your reasoning.
b. Starting from a full tank, can Diego’s family drive the car for 25 days without
the warning light coming on? Explain or show your reasoning.
c. Diego says the expression 14 − 0.6 helps him understand this situation. In this
situation, what does this expression represent, and what does the variable
stand for?
d. Write and solve an equation to determine the number of days Diego’s father
can drive the car without the warning light coming on.
e. Write and solve an inequality that represents this situation. Explain clearly
what the solution to the inequality means in the context of this situation.