Question

Diego's family car holds 18 gallons of fuel. Each day the car uses .8 gallons of fuel. A warning light comes on if the remaining fuel is 1.2 or less.

a. starting from full tank, can Diego's car go 15 days without the warning light turning on?

b. starting from a full tank, can Diego's car drive 20 days without the light coming on?

c. Deigo says that the expression 18-.8t helps him understand, what does T stand for?

d. write and solve an equation to determine the number of days his car can go before the warning light turns 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.​

Answer 1

Answer:

a) yes

b) yes

c)  days

d) equation: 18 - 0.8x =1.2

solution: 21

e)inequality: equation: 18 - 0.8x $\geq$1.2

solution: x < 21. This means that if he drives for less than 21 days the warning sign won't turn on.

Step-by-step explanation:

a) 18 - 15*0.8 = 6 so yes

b) 18 - 20*0.8 = 18 - 16 = 2

d) 18 - 0.8x =1.2

0.8x = 16.8

x = 16.8/0.8 = 21