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).
Select the statement that 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.
The statement that describes the relationship between the amount of money the student makes and time in days is:
C. The student charges $20 plus an additional $10 per day.
To determine the relationship between the amount of money the student makes and time in days, let's analyze the given graph.
The graph shows that for 0 days, the student makes $20. For 1 day, the student makes $30. For 2 days, the student makes $40.
We can observe that for each additional day, the student makes an additional $10.
Therefore, the correct statement is:
C. The student charges $20 plus an additional $10 per day.
To determine the relationship between the amount of money the student makes and time in days, we need to analyze the graph.
From the given information, we know that the line passes through the points (0, 20), (1, 30), and (2, 40).
Let's examine the change in money made from day 0 to day 1. The money increased from $20 to $30. This means that for one day, the student made an additional $10.
Now, let's examine the change in money made from day 1 to day 2. The money increased from $30 to $40. This means that for one more day, the student made an additional $10.
Based on these observations, we can conclude that the student charges an additional $10 per day. Since the student starts with $20, the correct answer is:
C. The student charges $20 plus an additional $10 per day.