HOURS STUDYING----- AVG GRADE

0-------------------- 62
1-------------------- 78
2-------------------- 85
5-------------------- 74

WHICH TYPE OF FUNCTION IS MOST LIKELY TO MODEL THESE DATA?

A. LINEAR FUNCTION W/POSITIVE SLOPE
B. LINEAR FUNCTION W/NEGATIVE SLOPE
C. NON-LINEAR THAT DECREASE THE INCREASE
D. NON LINEAR FUNCTION THAT INCREASES THEN DECREASE

well, since the grade does not always increase or decrease, it cannot be linear.

So, A and B are out. Now look at the data and pick C or D.

To determine which type of function is most likely to model the given data, we can observe the relationship between the number of hours studying and the average grade.

Looking at the data points:
- When studying for 0 hours, the average grade is 62.
- When studying for 1 hour, the average grade is 78.
- When studying for 2 hours, the average grade is 85.
- When studying for 5 hours, the average grade is 74.

By analyzing these data points, we can see that the average grade initially increases as the number of hours studying increases (from 0 to 2 hours). However, it then decreases when the number of hours studying increases further (from 2 to 5 hours).

Based on this information, we can conclude that the data follows a non-linear function that increases initially and then decreases. Therefore, the most likely type of function to model these data is D. Non-linear function that increases then decreases.