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You can type four pages in 50 minutes and nine pages in an hour and forty minutes. (a) Find a linear function for the number of pages typed, p, as a function of time, t. If time is measured in...

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You can type four pages in 50 minutes and nine pages in an hour and forty minutes. (a) Find a linear function for the number of pages typed, p, as a function of time, t. If time is measured in minutes, what values of t make sense in this example? (b) How many pages can be typed in two hours? (c) Interpret the slope of the function in practical terms. (d) Use the result in part (a) to solve for time as a function of the number of pages typed. (e) How long does it take to type a 15-page paper? (f) Write a short paragraph explaining why it is useful to know both of the formulas obtained in part (a) and part (d).
Answered 114 days After May 20, 2022

Solution

Simran answered on Sep 12 2022
71 Votes
As Given, we can type 4 pages in 50 minutes & 9 Pages in 100 minutes(1 hours and 40 minutes)
Two points are (x1, y1) and (x2, y2)
Where x =time;
y= Number of Pages
Hence, two points are (50, 4) and (100, 9)
Slope = (y2-y1) = (9 - 4)
(x2-x1) (100-50)
By solving above we...
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