Question

A student reads 56 pages in 4 hours. How many pages will the student read in 7 hours? Do these quantities (number of pages read and time) Vary directly or inversely? Find the constant of variation.

Answer 1

9514 1404 393

Answer:

  a) 98

  b) directly

  c) k = 14 pages per hour

Step-by-step explanation:

a) In order to answer the first question, we must assume that the number of pages varies directly with the amount of time. Further, we must find the constant of variation:

  p = kt

  56 = k(4)

  k = 56/4 = 14 . . . . pages per hour

Then in 7 hours, the student will read ...

  p = 14(7) = 98 . . . pages

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b) As we said in part (a), the variation is direct.

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c) As we found in part (a), the constant of variation is 14 pages per hour.