Question

Select ALL scenarios that match the function g(x) = 15 - 2x.

a. Josh has 2 cards. He collects 15 new cards per month.
b. Jayda has $15 on her lunch account. She spends $2 per day on lunch.
c. Katie gives away 2 pieces of candy per day from her bag of 15 candies.
d. Jake did 15 jumping jacks already. He then does 2 each second.

Answer 1

Scenarios (b) Jayda's lunch account diminishing by $2 a day and (c) Katie giving away 2 pieces of candy per day from a starting amount of 15 match the function g(x) = 15 - 2x.

Step-by-step explanation:

To solve the student's question, we must identify which scenarios best represent the function g(x) = 15 - 2x. This function describes a starting value of 15 that decreases by 2 for every increase of 1 in the variable x.

• (a) Josh has 2 cards. He collects 15 new cards per month.
  This scenario does not fit g(x) because Josh's cards increase by 15 per month, not decrease by 2.
• (b) Jayda has $15 on her lunch account. She spends $2 per day on lunch.
  This scenario matches g(x) because Jayda starts with $15 and spends $2 each day, perfectly aligning with the function's decrease of 2 for each 1-unit increase in x.
• (c) Katie gives away 2 pieces of candy per day from her bag of 15 candies.
  This scenario matches g(x) because Katie starts with 15 candies and gives away 2 each day, matching the function's description of a decrease by 2.
• (d) Jake did 15 jumping jacks already. He then does 2 each second.
  This scenario does not match g(x) as Jake's number of jumping jacks increases, whereas the function describes a decrease.

Therefore, the scenarios that match the function g(x) = 15 - 2x are (b) and (c).