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 analyze the situation described in the graph, we need to determine the initial fee and the daily rate charged by the student based on the points provided.

From the points given:

• At (0, 20): When no days have passed (0 days), the student has made $20.
• At (1, 30): After 1 day, the student has made $30.
• At (2, 40): After 2 days, the student has made $40.

From this information, we can deduce:

• The initial fee (at day 0) is $20.
• The student makes an additional $10 for each additional day.

Thus, the relationship can be modeled as:

• Total Money = Initial Fee + (Daily Rate × Number of Days)
• Total Money = $20 + ($10 × Number of Days)

Based on this analysis:

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

The correct option is: C. The student charges $20 plus an additional $10 per day.