Question

Isabella and Angel are reading the same book. At the beginning of the month, Isabella was on page 35 and Angel was on page 5. Isabella will read 10 pages per day and Angel will read 20 pages per day. Let I represent the page of the book that Isabella is on at the end of t days into the month, and let A represent the page of the book that Angel is on at the end of t days into the month. Graph each function and determine after how many days, t, Isabella and Angel will be on the same page of the book.

Answer 1

3 days

Step-by-step explanation: (See Annex)

According to the problem statement, both readings (Isabela and Angel) are models for a straight line:

10 and 20 are the slopes of I and A respectively

I = 35 + 10*t

A = 5 + 20*t

The common point of the two lines will be the day when they both will be on the same page ( see annex)

then:

35 + 10*t = 5 +20*t

35 - 5 = 20*t - 10*t

10*t = 30

t = 3