Question

Ethan and Adrian are reading the same book. At the beginning of the month, Ethan was on page 18 and Adrian was on page 45. Ethan will read 12 pages per day and Adrian will read 9 pages per day. Let E represent the page of the book that Ethan is on at the end of t days into the month, and let A represent the page of the book that Adrian is on at the end of t days into the month. Write an equation for each situation, in terms of t, and determine whether Ethan or Adrian is farther along in the book after 4 days.

Answer 1

The equations are e = 18+12t and a = 45+9t

Adrian will be father along in the book after 4 days. She will be 15 pages ahead of Ethan

Ethan's page number at the beginning of the month = 18

Adrian's page number at the beginning of the month = 45

Pages read by Ethan each day = 12 pages

Pages read by Adrian each day = 9 pages

Let e represent the page of the book that Ethan is on at the end of t days into the month. Let a represent the page of the book that Adrian is on at the end of t days into the month.

Formulating the equation we get the following:

e = 18 + 12t

a = 45 + 9t

Finding the page number of both Ethan and Adrian after 4 days by substituting the values in the equations we get:

e = 18+12(4)

e = 66

a = 45 + 9(4)

a = 81

Learn more about linear equations:

brainly.com/question/13738061

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