Question

1. sammy sells cars. last week, he sold 6 used cars to 6 different customers. each person he sold a used car to was under the age of 35. this week, he sold a new car to a couple in their 50s. sammy determined that only customers who are 35 and younger buy used cars. what is a counterexample to sammy’s conjecture?

a customer who is 62 years old buys a new car.
a customer who is 38 years old buys a used car.
a customer who is 30 years old buys a used car.
a customer who is 38 years old buys a new car.

Explanation:

A counterexample to Sammy's conjecture (only customers 35 and younger buy used cars) must show a customer over 35 buying a used car.

• Option A: 62 - year - old buying a new car doesn't relate to used cars, so not a counterexample.
• Option B: A 38 - year - old (over 35) buying a used car directly contradicts the conjecture.
• Option C: A 30 - year - old buying a used car supports the conjecture, not a counterexample.
• Option D: A 38 - year - old buying a new car doesn't contradict the claim about used cars.

Answer:

B. A customer who is 38 years old buys a used car.