The number of pages p a student can read varies directly with respect to time t in minutes spent reading. The student can read 90 pages in 60 minutes. Write an equation that relates pages read & time. Predict the number of pages in 90 minutes. Answer
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To write an equation that relates the number of pages read (p) and the time spent reading (t), we can use the concept of direct variation. Direct variation states that when two quantities are directly proportional, their ratio remains constant. In this case, we know that the number of pages read varies directly with respect to the time spent reading.
We are given that the student can read 90 pages in 60 minutes. We can use this information to find the constant of variation (k). We divide the number of pages by the time:
k = 90 pages / 60 minutes
k = 1.5 pages per minute
Now we can write the equation that relates the number of pages read (p) and the time spent reading (t):
p = kt
Substituting the value of k, the equation becomes:
p = 1.5t
To predict the number of pages in 90 minutes, we can substitute t = 90 into the equation:
p = 1.5 * 90
p = 135
Therefore, the predicted number of pages read in 90 minutes is 135 pages.