Question

a mechanic named jon plans to work a maximum of 10 hours tomorrow, and no more, doing tune - ups and oil changes. it takes 0.6 hours to perform a tune - up and 2.1 hours to perform an oil change. write the inequality in standard form that describes this situation. use the given numbers and the following variables. x = the number of tune - ups y = the number of oil changes

Explanation:

Step1: Determine time for tune - ups

The time spent on tune - ups is the time per tune - up times the number of tune - ups. Since it takes 0.6 hours per tune - up and there are $x$ tune - ups, the time for tune - ups is $0.6x$.

Step2: Determine time for oil changes

The time spent on oil changes is the time per oil change times the number of oil changes. Since it takes 2.1 hours per oil change and there are $y$ oil changes, the time for oil changes is $2.1y$.

Step3: Set up the inequality

The total time for tune - ups and oil changes must be at most 10 hours. So the inequality is $0.6x + 2.1y\leq10$.

Answer:

$0.6x + 2.1y\leq10$