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. Write an inequality to determine the number of days Diego's father can drive the car without the warning light coming on. 10 points 14− 0.6t > 1.5 14− 0.6t < 1.5 14+ 0.6t > 1.5 14+ 0.6t < 1.5

Answer 1

Answer:

$14-0.6t>1.5$

Step-by-step explanation:

The amount of fuel the car holds is fixed i.e., 14 gallons

The amount of fuel consumed every day is 0.6 gallons

Warning light comes on when the fuel level is 1.5 gallons or less.

Let t be the number of days the car runs for

So the amount of fuel consumed in all the days must be less than 1.5.

The equation will be

$14-0.6t>1.5\\\Rightarrow -0.6t>1.5-14\\\Rightarrow -0.6t>-12.5\\\Rightarrow 0.6t<12.5\\\Rightarrow t<\dfrac{12.5}{0.6}\\\Rightarrow t<20.83$

So, the number of days the car can be driven without the warning light coming on is less than 20.83 days.

Hence, the required inequality is $14-0.6t>1.5$.