Question

A company charges $6.50 to make a pattern for an order of T-shirts and $12.75 for each T-shirt it produces from the pattern. The expression $12.75n+$6.50 represents the cost of n T-shirts with the same pattern. Keri orders 5 shirts with the same pattern. How much change will she receive if she pays with a $100 bill?

Answer 1

Keri will receive $29.75 in change when she orders 5 shirts at a cost of $12.75 each plus a $6.50 pattern fee and pays with a $100 bill.

Step-by-step explanation:

The student is asking about the cost of producing a specific number of T-shirts with the same pattern and how much change they would receive from a certain amount of money.

The given expression, $12.75n + $6.50, represents the cost where n is the number of T-shirts. For Keri's order of 5 shirts, we substitute n with 5 to calculate the total cost: $12.75(5) + $6.50, which gives us $63.75 + $6.50 = $70.25.

If Keri pays with a $100 bill, the change she will receive is the difference between the amount she pays and the total cost: $100 - $70.25 = $29.75. Therefore, Keri will receive $29.75 in change.