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The amount of time it takes Dominic to read a book is a constant rate based on the number of pages in the book. If t takes him 8 hours to read a 248 page book, how long will it take him to read two 310 page books?

Respuesta :

hnsimpson10449
248 divided by 8 gives you 31.
So it takes him 1 hour to read 31 pages.
Divide 310 by 31 and you’ll get 10.
It takes him 10 hours to read 310 pages.
Hope this helps:)
batolisis

The amount of time will be [tex]20[/tex] hours.

Let

[tex]t=\text{time taken to read each page of a book}\\n=\text{number of pages}[/tex]

then, since the time taken to read the book is directly proportional to the number of pages read, we will have

[tex]\frac{t_1}{n_1}=\frac{t_2}{n_2}[/tex]

for this problem

[tex]t_1=8\\n_1=248\\n_2=310\times 2[/tex]

substituting these values into the above formula

[tex]\frac{t_1}{n_1}=\frac{t_2}{n_2}\\\\\frac{8}{248}=\frac{t_2}{310\times 2}\\\\\frac{8\times310\times 2}{248}=t_2=20\text{ hours}[/tex]

The amount of time taken to read two [tex]310[/tex] page books will be [tex]20[/tex] hours

Learn more about direct proportion here: https://brainly.com/question/15709942