Noah and Amelia are reading the same book. At the beginning of the month, Noah was on page 41 and Amelia was on page 13. Noah will read 12 pages per day and Amelia will read 16 pages per day. Let NN represent the page of the book that Noah is on at the end of tt days into the month, and let AA represent the page of the book that Amelia is on at the end of tt days into the month. Write an equation for each situation, in terms of t,t, and determine whether Noah or Amelia is farther along in the book after 3 days.

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Scratchnem Scratchnem · Answer 1 · 2021-10-09T07:46:32+02:00

Answer:

After 3 days, Noah is still farther along reading.

Step-by-step explanation:

Here are the two equations:

NN = 12tt + 41

AA = 16tt + 13

Now we plug in 3 to both equations to see what page they're on after 3 days:

[tex]NN = 12(3) + 41\\NN = 36 + 41\\NN = 77 \\\\AA = 16(3) + 13\\AA = 48 + 13\\AA = 61[/tex]

After 3 days, Noah is 77 pages along and Amelia is 61 pages along.

77 pages > 61 pages so therefore Noah is still farther along.