Question

You are buying t-shirts for the math club members. The t-shirt company will charge you according

to the function below, where c(x) is the total-cost of the shirts and x is the number of t-shirts that you
ordered.
120x, if 0 < x < 10
f(x) = { 100x, if 11 S x < 50
80x, if x > 50
If you can get 51 members of the math club, how much will the 51 t-shirts cost?
A. P6120
B. P5100
C. P4080
D. P5200

Answer 1

To calculate the total cost for 51 t-shirts, we apply the pricing function provided. Since 51 is greater than 50, the pricing bracket is P80 per shirt, leading to a total cost of P4080.

Step-by-step explanation:

To find out the total cost of 51 t-shirts for the math club members, we need to identify which price bracket the order falls into based on the given pricing function. Here's the pricing function:

• 120x, if 0 < x < 10
• 100x, if 11 ≤ x < 50
• 80x, if x > 50

Since 51 t-shirts were ordered, which is greater than 50, we use the price of P80 per shirt. Therefore, the total cost (c(x)) can be calculated as:

c(51) = 80 * 51

This calculation gives us a total cost of P4080 for 51 t-shirts. So, the correct answer is C. P4080.