Question

For each of the following items, state whether a direct or an inverse relationship is likely to exist.

(a) The number of hours you study for an exam and your exam score.

(b) The price of pizza and the quantity purchased.

(c) The number of games the university basketball team won last year and the number of season tickets sold this year.

Short answer

(a) Direct Relationship

(b) Inverse Relationship

(c) Direct Relationship

Step-by-step solution

Step 1. Direct and Inverse Relationship.

Direct relationship means there is a positive relationship between two variables meaning an increase in one will increase the other and vice versa.

Inverse relationship means there is a negative relationship between two variables meaning an increase in one will decrease the other and vice versa.

Step 2. Identifying.

(a) This is a direct relationship. The increase in the number of hours of study will result in a better an exam scores and a decrease in the number of hours of study will result in a degrade in the exam score.

(b) This is an inverse relationship. The more the price of pizza, the less be the quantity purchased. and the less the price of pizza, the more be the quantity purchased.

(c) This is a direct relationship. The more the number of games the team won the more will be the tickets sold for the game and the less the number of games the team won the less will be the tickets sold for the game.