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.

3 answers

To determine how the amount of money the student makes is related to the time in days, we should analyze the data points provided:

  1. At 0 days: The student made $20.
  2. At 1 day: The student made $30.
  3. At 2 days: The student made $40.

From the given points:

  • The fee when the student starts (0 days) is $20.
  • After 1 day, he makes an additional $10 ($30 - $20 = $10).
  • After 2 days, he again makes an additional $10 ($40 - $30 = $10).

This shows that the student starts with a base charge of $20 and earns an additional $10 for each additional day.

Therefore, the correct statement is:

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

you sure?

Yes, let's confirm the analysis step-by-step based on the points provided:

  • At 0 days, the student makes $20. This indicates the initial charge (or base fee).
  • At 1 day, the student makes $30. The difference from the previous amount is $30 - $20 = $10.
  • At 2 days, the student makes $40. The difference again is $40 - $30 = $10.

From this, we observe two things:

  1. The base fee (initial charge) is $20.
  2. The daily charge (amount earned per additional day) is $10.

So, the relationship can be described as:

  • The student charges a base fee of $20, plus $10 for each additional day.

Thus, the correct option remains:

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

If you have any additional context or information that might change this analysis, please let me know!