Question

(c) Paul uses the function y = 7x + 30 to model the situation. What score does Paul’s model predict for 3 hours of homework?

(d) Describe what the number 30 in Part (c) mean in the context of the situation?

Answer 1

(c) Paul's model predicts a score of 51 for 3 hours

(d) 30 represents the y intercept

Explanation:

Given

`y = 7x + 30`

Solving (c): What is y when x is 3

Substitute 3 for x in
`y = 7x + 30`

`y = 7*3 + 30`

`y = 21 + 30`

`y = 51`

Solving (d): What does 30 represent

An equation is represented as:

`y = mx + b`

Where

`b = y\ intercept`

Compare:
`y = mx + b` to
`y = 7x + 30`

`b = 30`

This implies that 30 represents the y intercept