Answer:
number of pages = 16w + 21
where w is the number of weeks
Step-by-step explanation:
Thomas has decided to write 16 pages per week. This means that in 4 weeks, Thomas would write:
number of pages written in 4 weeks = 4*16 = 64 pages
We are given that after 4 weeks, Thomas had a total of 85 written pages.
This number is equal to the the summation of:
i- What he has written before deciding to write 16 pages per week
ii- The number of pages he wrote on the constant pace (64 pages)
Therefore:
85 = number of already written pages + 64
number of already written pages = 85 - 64 = 21 pages
Now, the equation that represents the pages he writes will be equal to the number of pages he writes in a certain number of weeks added to the 21 pages that were already written
Therefore:
equation is:
number of pages = 16w + 21
where w is the number of weeks
Hope this helps :)