Question

11. Kevin is comparing job offers at two stores.

Dollar Deal offers $8/h plus 10% commission.
Great Discounts offers $18/h with no
commission. What do Kevin's weekly sales
need to be in order for Dollar Deal to pay
more? Assume that he works an 8-h day five
days per week.

Answer 1

Kevin's weekly sales will have to be worth more than $4000 in order for Dollar Deal to pay more.

Explanation:

Dollar Deal offers $8/h plus 10% commission.

If he spends x hours, then offer after x hours and s amount from sales is;

8x + 10%s

This can be rewritten as; 8x + 0.1s

Now, Great Discounts offers $18/h with no commission.

Thus after 8 hours for 5 days, total number of hours = 40 hours.

Thus, great discounts offer = 18 × 40 = $720

Now, dollar deal will offer; 8(40) + 0.1s = 320 + 0.1s

Thus, for dollar deal to pay more weekly, then;

320 + 0.1s > 720

0.1s > 720 - 320

0.1s > 400

s > 400/0.1

s > 4000