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Phoebe Small has 35 pages of history to be read after she has been reading for ten minutes and 5 pages left after she has been reading for 50 minutes. Assume that the number of pages left to read varies linearly with the number of minutes she has been reading.

A) Write and the linear model that represents how many pages left to read and minutes read.

B) How many pages does she have to read in all?

C) When does she finish?"

Sorry for the delay in time - my computer has been down for a couple of days.

The difference in pages left is 35 35 - 5 = 30.

The difference in time is 50 - 10 = 40.

This means that she has read 30 pages in 40 minutes.

That is equivalent to (30 pages)/(40 minutes) = 0.75 pages/minute.

This means in the 1st 10 minutes, she read 7.5 pages.

The equation is then p = 42.5 - 0.75t where p is pages and t is time.

A) The linear model to solve would be given by that equation when p = 0.

That would give the total time by solving 0 = 42.5 - 0.75t.

That is the same as 3t = 170, so total time is 56 2/3 minutes.

B) The total pages can be found by putting in t=0, and that gives 42.5.

C) She has been reading for 50 minutes already, so the time left is 56 2/3 - 50 = 6 2/3.

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