Question

A scatter plot of time spent studying and grade acquired on a test is shown below.

Which function best represents the data?

A. y = - 5.1x + 6

B y = 5.1x + 6

C. y = - 1.4x - 13.7

D. y = 1.4x - 13.7

Answer 1

The function which best represents the data is ; y = 5.1x + 6

Using the slope of the graph shown , the trend of the graph is positive which means the function slope value would be positive.

Similarly, the Intercept of the graph which is the point where the line crosses the y - axis cannot be negative based on the pattern of the trend line shown.

From the options given, only option B has both positive slope and Intercept value.

Hence, the most appropriate function is y = 5.1x + 6