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.

1. Starting from a full tank, can Diego's family drive the car for 14 days without the warning light coming on? Explain your reasoning.

2. Starting from a full tank, can Diego’s family drive the car for 25 days without the warning light coming on? Explain your reasoning.

3. Diego says the expression 14 - 0.6t helps him to understand this situation. What does this expression represent, and what does the variable t stand for?

4. Write and solve an equation to determine the number of days Diego’s father can drive the car without the warning light coming on.

5. 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

1) if he wants to do that he needs 0.6 gallons x 14 days = 8,4 gallons.

If the car starts with 14 gallons then he is able to ride 14 days without the warning light.

2) now he would need 0.6 gallons x 25 days = 15 gallons.

he only has 14 gallons so that is not possible.

3) no clue sorry

4) x= the days he can drive without the warning light

14-1,5 = 0,6.x

<=>12,5= 0,6.x

<=>20,833... = x

He can go 20 days without the warning light.

5) x= the days he can drive his car without seeing the warning light.

x.0,6<12,5

<=> x<20,833...

If he drives 20,833... days he will see the warning light so everything before that he won't see it.