Question

Here’s a situation involving multiple variables that we can model using equivalent expressions. At the souvenir shop, Theo buys k key chains and p photo frames where each chain and frame costs $2.49. He also buys a T-shirt for $5.99. What is the total cost of Theo’s purchases in terms of k and p?

Which expression represents the total cost?
a. 2.49k + 2.49p + 5.99
b. 2.49(k + p) + 5.99
c. 2.49k + 2.49p + 2.49
d. 2.49(k + p + 5.99)

Answer 1

The total cost of Theo's purchases in terms of k and p is represented by the expression a) 2.49k + 2.49p + 5.99.

Step-by-step explanation:

The expression that represents the total cost of Theo's purchases in terms of k and p is option a. 2.49k + 2.49p + 5.99.

To calculate the total cost, we multiply the number of key chains (k) by the cost of each key chain (2.49), and add it to the product of the number of photo frames (p) and the cost of each frame (2.49). Finally, we add the cost of the T-shirt (5.99).

So the expression becomes 2.49k + 2.49p + 5.99.