Dave, a mechanic, earns $22 for every oil change he performs and $100 for every tune-up. He needs to earn over $1,200 today to be able to pay the rent for his business and still have some money left over.

Question

Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of oil changes Dave will do today
y = the number of tune-ups Dave will do today

Answer 1

To express the situation in an inequality, we start by determining the total earnings Dave needs to exceed, which is $1,200.

Dave earns:

• $22 for each oil change he performs (denoted by \(x\)),
• $100 for each tune-up he performs (denoted by \(y\)).

The total earnings can be represented by the equation:

\[ 22x + 100y \]

We need Dave's total earnings to be greater than $1,200. Therefore, we can write the inequality as:

\[ 22x + 100y > 1200 \]

This is the inequality in standard form that describes the situation.