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, we can analyze the given graph.
From the graph, we can observe that as the number of days increases, the amount of money the student makes also increases.
Looking at the points (0, 20), (1, 30), (2, 40), we can see that the student charges $20 on the first day and for each additional day, the amount of money made increases by $10.
Therefore, the relationship between the amount of money the student makes and time in days can be described as the student charges $20 plus an additional $10 per day.
So the correct statement is option 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 given graph.
Looking at the graph, we can see that as time in days increases, the amount of money made also increases. This indicates that there is a constant rate of change in the money earned per day.
By examining the points (0, 20), (1, 30), and (2, 40), we can identify the pattern of change. From day 0 to day 1, there is an increase of $10 in the money earned. From day 1 to day 2, there is again an increase of $10.
Since we see a consistent increase of $10 per day, we know that the student charges a base amount plus an additional amount per day.
Now let's evaluate the different options given:
A. The student charges $11 plus an additional $20 per day.
This option suggests a base charge of $11, but we can see from the graph that the money earned on day 0 is $20, not $11. Therefore, this option is incorrect.
B. The student charges $20 plus an additional $11 per day.
This option suggests a base charge of $20, but the increase in money earned per day is $10, not $11. Therefore, this option is incorrect.
C. The student charges $20 plus an additional $10 per day.
This option suggests a base charge of $20, and the increase in money earned per day is $10, which matches the pattern we observed from the graph. Therefore, this option is a possible answer.
D. The student charges $10 plus an additional $20 per day.
This option suggests a base charge of $10, whereas the money earned on day 0 is $20, not $10. Therefore, this option is incorrect.
Based on our analysis, the correct answer is C. The student charges $20 plus an additional $10 per day.