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? PART A Represent the total cost in two ways: 1.) Find the cost of each item and add them up to find the total cost. The cost of k key chains is k dollars. The cost of p photo frames is p dollars. The cost of one T-shirt is $. Total cost = k + p + PART B 2.) Another way to find the total cost is by multiplying $2.49 by the total number of key chains and photo frames (k + p) that Theo bought since both items have the same unit price. Then, complete the expression by adding the cost of the T-shirt, $. Total cost = (k + p) + ✓ Check for equivalence of these two expressions by rewriting the first expression to match the second. Use the Distributive Property to carry out the factorization. k + p + = (k + p) + PART C How can you prove that two expressions are equivalent? Is there more than one way? Explain.