Question

For several weeks, a server records the number of desserts, d, ordered by diners at each table and the tip, t, in dollars, he receives from that table. He finds that there is a positive linear association between t and d that is best modeled by the equation t = 1.4d + 9.1.

What is the meaning of 9.1 in this equation?

The model predicts that the average tip the server will earn from a table that orders desserts is $9.10.

For each dessert ordered, the model predicts that the server will earn an average additional tip of $9.10.

The model predicts that the average tip the server can expect to earn from any table is $9.10.

When a table orders no desserts, the model predicts the server will earn an average tip of $9.10.

Answer 1

Answer: When a table orders no desserts, the model predicts the server will earn an average tip of $9.10.

Explanation:

Given: For several weeks, a server records the number of desserts, d, ordered by diners at each table and the tip, t, in dollars, he receives from that table.

He finds that there is a positive linear association between t and d that is best modeled by the equation
`t=1.4d+9.1`

When d=0, then t=9.1....> which implies that if there is no dessert ordered then the tip will be $9.10.

Hence, the right option is "When a table orders no desserts, the model predicts the server will earn an average tip of $9.10."

Answer 2

9.1 means that when a table orders no desserts, the model predicts the server will earn an average tip of $9.10.