Question

This version is a sequel to the Commission Problem in Unit 3: Three Views of aFunctionEric and Nancy both had a successful year selling fish tanks for theirrespective employers, and so they were both given raises.Eric: Eric's base salary is still $1400, but now he makes a commission of$100 for each fish tank that he sells.Nancy: Nancy now gets a base salary of $500 per month, but her commissionhas stayed the same at $250 per fish tank.Eric and Nancy still want to make sure that they contribute the same amountto their total monthly income, and Nancy proposes using algebra to figureout how many fish tanks that they would each need to sell. She tells Ericthat he can calculate his monthly Income by using the formula f(x) = 100x +1400. She says that she can calculate her own salary by using the functiong(x) = 250x + 500.1.Who makes more if they sell 8 fish tanks? Show your work

Answer 1

`\begin{gathered} f(x)=100x+1400 \\ g(x)=250x+500 \end{gathered}`

In order to see which one of them make more if they sell 8 fish tanks

If x represents the amount of tanks they sell, then replace x by 8.

`\begin{gathered} f(x)=100\cdot8+1400 \\ f(x)=800+1400 \\ f(x)=2200 \end{gathered}`
`\begin{gathered} g(x)=250\cdot8+500 \\ g(x)=2000+500 \\ g(x)=2500 \end{gathered}`

According to this Nancy makes 300 dolars more than Eric when selling 8 fish tanks.