Question

Consider this scatter plot.

(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

We have been given the scatter plot:

(a)We can clearly see from the plot that there is direct proportion between the number of hours of homework and test scores.

Direct proportion means if hours of homework increases then test score increases and vice-versa.

(b) we have been given a function y=8x +40

We need to predict for 3 hours of homework put x=3 in above function as x represents hours of homework we get:

y=8(3)+40

y=24+40

y=64

Hence test score will be 64 for 3 hour of homework.

(c) 40 means the test score when there is x=0 means 0 hours o homework.

Answer 2

A) the more time spent on homework the higher the test score

B) y =8x+40 = y=8(3)+40 = 24+40 = 64

C) 40 would be the test score if no time was spent doing homework