Diego’s family car holds 14 gallons of fuel. Each day the car uses 0.5 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less. The car starts with a full tank and they will be gone for 60 days. Diego's dad completely refills the car whenever the warning light is going to come on. The car starts off full. What is the minimum number of times that they will have to refill the car during the trip.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

the answer is 62.8 cubic units

c

step-by-step explanation:

this is a good question! i'll do some research and come back when i have the answer!