A professor asks their class to report the amount of time t it takes them to finish two assignments. Most report that it took them about 30 minutes to complete a 3-page assignment and about 75 minutes to complete a 7-page assignment. (a) Find a linear function y = N(t) that models this situation, where N is the number of pages completed and t is the time in minutes. (b) How many pages could be completed in 2 hours? (c) How long would it take to complete a 16-page assignment?
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
A professor asks their class to report the amount of time t it takes them to finish two assignments. Most report that it took them about 30 minutes to complete a 3-page assignment and about 75 minutes to complete a 7-page assignment.
(a) Find a linear function y = N(t) that models this situation, where N is the number of pages completed and t is the time in minutes.
(b) How many pages could be completed in 2 hours?
(c) How long would it take to complete a 16-page assignment?
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