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 correct 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, we can examine the graph given.
Looking at the points on the graph (0, 20), (1, 30), (2, 40), we can see that as the number of days increases by 1, the amount of money made increases by 10.
This indicates that there is a constant rate of change, where for each additional day, the student earns an additional $10.
Based on this observation, the correct statement would be:
D. The student charges $10 plus an additional $20 per day.
To determine the relationship between the amount of money the student makes and time in days, we need to analyze the pattern of the data points on the graph.
Looking at the points (0, 20), (1, 30), and (2, 40), we can observe that as the number of days increases by 1, the amount of money increases by 10. This means that for each additional day, the student earns an extra $10.
Based on this pattern, we can conclude that the student charges a base fee of $20 plus an additional $10 per day.
Therefore, the correct statement describing 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.