Answered

Nicole and Elizabeth are reading the same book. At the beginning of the month,
Nicole was on page 36 and Elizabeth was on page 4. Nicole will read 2 pages per day
and Elizabeth will read 10 pages per day. Let N represent the page of the book that
Nicole is on at the end of t days into the month, and let E represent the page of the
book that Elizabeth is on at the end of t days into the month. Graph each function
and determine after how many days, t, Nicole and Elizabeth will be on the same page
of the book. Can someone help?



Answer :

rvkacademic

Answer:

Graph attached

They will be both on the same page after 4 days

The page they will be on is page 44

Step-by-step explanation:

Nicole's starting page is 36. She reads 2 pages per day. So, in t days, she would have read 2t pages.

At the end of t days Nicole would be on page N = 2t + 36  (1)

Elizabeth is on page 4 and reads 10 pages per day. So at the end of t days she would have read 10t pages.

At the end of t days Elizabeth will be on page E = 10t + 4  (2)

Equations 1 and 2 can be graphed using a graphing calculator

The point of intersection will provide the solution to the equations ie the number of days when they are both on the same page

From the two graphs we can see that the point(4, 44) is the point of intersection. This means t=4

Substituting for t = 4 in any one of the equations will give the page number they both are on
N = 2(4) + 36 = 8 + 36 = 44

E = 10(4) + 4 = 40 + 4 =44

View image rvkacademic

Other Questions