Question

(a) How would you characterize the relationship between the hours spent on homework and the test scores? Explain.

(b) Paul uses the function y = 8x + 40 to model the situation. What score does the model predict for 3 h of homework?
(c) What does the number 40 in Part (b) mean in the context of the situation?

Answer 1

Explanation:

(a) From the plot, the data points are distributing fairly linearly. So there is a linear relationship between the hours spent on homework and the test scores.

(b) If Paul uses the function y = 8x + 40 to model the situation, 3 h of homework is predicted to have a test score of 8*3 + 40 = 64.

(c) The number 40 in Part (b) mean if a student spends no time (0 h) on homework, the test score will be 40; a failing grade.

Answer 2

a) there is a linear relationship with the test scores go up with increasing hours spent on hw

b) y=8x+40 so at x=3h, y=test score= 8*3+40 = 64

c) 40 represents test score when u spend 0 hour on hw