Question

99 POINTS!!!!PLEASE HELP ASAP! and please answer both questions by there self. Alex sells T-Shirts. It costs Alex $6.50 to buy each T-shirt. Alex also pays $156 each month to rent equipment to add print to the T-shirts.

Alex sells each T-shirt for $12.50.

1. Write an inequality that can be used to determine the number of T-shirts (T) Alex must sell each month in order to make a profit for the month. (Assume that Alex sells each T-shirt he buys.) Answer: ____________

2. What is the minimum number of T-shirts Alex must sell in order to make a profit in a given month? Remember this is an inequality not an equation.(Assume that Alex sells each T-shirt he buys.) Answer: ____________

Answer 1

1. 6.50t + 156 < 12.50t

2. t > 26

Step-by-step explanation:

First we need to have the inequality

Isolate the variable

6.50t + 156 < 12.50t

156 < 12.50t - 6.50t

Combine like terms

156 < 6t

divide both sides by 6

156/6 < t

Combine like terms

26 < t

Alex must sell greater than 26 shirts to make a profit each month.

Answer 2

1) 6.50t + 156 < 12.50t

2) t > 26

Explanation:

You want to put all the money Alex spends on one side of the inequality, and all the money Alex earns on the other side. To make a profit, the earning side has to be greater than the spending side.

Solve your inequality by isolating the variable.

6.50t + 156 < 12.50t

156 < 12.50t - 6.50t

156 < 6t

156/6 < t

26 < t

Alex must sell greater than 26 shirts to make a profit each month.