Question

Jones has already taken 1 page of notes on his own, and he will take 2 pages during each hour of class. If after 4 hours, he had 9 pages of notes completed, what is the y-intercept of the equation?

a. 2 pages
b. 4 hours
c. 1 page
d. 9 pages

Answer 1

Answer:c. 1 page

Explanation:

Let x represent the number of hours that Jones takes to finish the pages

Let y represent the number of pages that Jones finishes in x hours.

Jones has already taken 1 page of notes on his own. Therefore, the equation becomes

y = 2x + 1

After 4 hours,

y = 2×4 + 1 = 8 + 1 = 9 pages.

This equation is in the slope intercept form where

m = Slope = 2 pages per hour of class

To get the y intercept, we will substitute x = 0 into the equation. It becomes

y = 2×0 + 1

y = 1

So the y intercept is 1 page