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

Question

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 analyze the relationship between the amount of money the student makes and time in days, we can examine the points given in the graph:

1. (0, 20) - When 0 days have passed, the student has made $20.
2. (1, 30) - When 1 day has passed, the student has made $30.
3. (2, 40) - When 2 days have passed, the student has made $40.

From these points, we can determine several things:

• The initial amount (when time = 0) is $20. This suggests that there is a base fee of $20.
• The amount of money made increases by $10 for each additional day (from $20 to $30 and then from $30 to $40).

Thus, we can conclude that the student charges $20 as a base fee plus $10 for each day worked.

Therefore, the correct statement that describes the relationship is:

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