Question

Part BSales associates at an electronics store eam different commissionpercentages based on the items they sell. The table shows the totalsales and commission earnings for four sales associates at theelectronics store last month.Electronics Store Sales and CommissionsTotal SalesCommissionEarnings5673$22$1.298$37$3,277S101$5.180$150The table below shows the total sales of two sales associates at theelectronics store last month.Electronics Store SalesSales TotalAssociate SalesJon $2,881Tia $4,163Use the model you created in Part A to estimate how much moremoney, in dollars, Tia eamed in commission than Jon. Show orexplain your workEnter your answer and your work or explanation in the boxprovided

Answer 1

From the table shown:

we need to find the relationship between the commission earnings and the total sales

John's sales = $2881

Tia's sales = $4163

Note that:

$2881 falls between $1298 and $3277

Using the extrapolation formula:

$\begin{gathered} Y(x)\text{ = Y(1) + }\frac{x-x(1)}{x(2)-x(1)}\times\text{ \lbrack{}Y(2)-Y(1)\rbrack} \\ 2881\text{ = 1298 + }\frac{x-37}{101-37}\times\lbrack3277-1298\rbrack \\ 51.2\text{ = x - 37} \\ x\text{ = 51.2 + 37} \\ x\text{ = 88.2} \end{gathered}$

Jon's commission = $88.2

For Tia's commission: