Question

Raven earned $(7x – 2.50) for mowing lawns during the summer. Monique earned $(9x-7.50) formowing lawns. How much more money, in terms of x, did Monique earn than Raven?

Answer 1

We have two earning functions for Raven and Monique. They are expressed in function of x, that may be the number of lawns they mow. The negative independent tem may be referring to fixed costs they have.

Then, if we call r(x) to the earning function of Raven and m(x) to the earning function of Monique, we can express how much money Monique earn than Raven by substracting r(x) from m(x).

We can do this as:

`\begin{gathered} d(x)=m(x)-r(x) \\ d(x)=(9x-7.50)-(7x-2.50) \\ d(x)=9x-7.50-7x+2.50 \\ d(x)=(9-7)x-7.50+2.50 \\ d(x)=2x-5 \end{gathered}`

Answer: Monique earns 2x-5 more than Raven.