To determine the correct statement about the relationship between the amount of money the student makes and time in days, we can analyze the points given.
The points on the graph are:
- (0, 20): At 0 days, the student has made $20.
- (1, 30): At 1 day, the student has made $30.
- (2, 40): At 2 days, the student has made $40.
From these points, we can observe the following:
- The initial amount (y-intercept) when no days have passed (0 days) is $20.
- For each additional day worked (moving from 0 to 1 day, and from 1 to 2 days), the student makes an additional $10.
Thus, we can conclude that:
- The student starts with a charge of $20 (this is the initial fee when time is 0).
- The student then charges an additional $10 for each day.
Now, we can evaluate the options:
A. The student charges $11 plus an additional $20 per day. (Incorrect: It does not reflect the initial fee and additional daily charge.)
B. The student charges $20 plus an additional $11 per day. (Incorrect: It does not reflect the correct daily charge.)
C. The student charges $20 plus an additional $10 per day. (Correct: This matches our analysis.)
Therefore, the correct statement is C. The student charges $20 plus an additional $10 per day.
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