Multiple Choice Question

Question

A student makes money by watching the neighbors’ dog. The situation is modeled in the graph below.

The graph titled money made shows Fee in dollars from 0 to 130 on the y axis in increments of 10 and time in days from 0 to 10 the line passes through the points (0, 20), (1, 30), (2, 40).

Which statement correctly describes the relationship between the amount of money the student makes and time in days?

A.
The student charges $11 plus an additional $20 per day.

B.
The student charges $20 plus an additional $11 per day.

C.
The student charges $20 plus an additional $10 per day.

D.
The student charges $10 plus an additional $20 per day.

Answer 1

To determine the correct statement that describes the relationship between the amount of money the student makes and time in days, we can analyze the data points given.

From the points mentioned:

• At day 0, the student makes $20.
• At day 1, the student makes $30.
• At day 2, the student makes $40.

From these points, we can derive the following:

• The initial fee (when time is 0) is $20.
• The increase in fee per day (from day 0 to day 1) is $10 ($30 - $20).
• Similarly, the fee increases by another $10 from day 1 to day 2 ($40 - $30).

This shows that the student charges $20 initially and $10 for each additional day.

Therefore, the correct answer is:

C. The student charges $20 plus an additional $10 per day.