Question

a mechanic named hansen plans to work a maximum of 11 hours tomorrow, and no more, doing tune - ups and oil changes. it takes 1 hour to perform a tune - up and 2 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: Calculate time for tune - ups

The time spent on tune - ups is $1\times x=x$ hours.

Step2: Calculate time for oil changes

The time spent on oil changes is $2\times y = 2y$ hours.

Step3: Set up the inequality

The total working time is the sum of time for tune - ups and oil changes, and it should be at most 11 hours. So $x + 2y\leq11$.

Answer:

$x + 2y\leq11$