Linear trend equations in business scenarios


Question:

Linear Trend Equations in Business Scenarios

1. The linear trend equation: Y' = a + bt, where b is the slope and a is the y-intercept, is an example of a linear function.

A. Given that Y' = 1000, b = 10, what is the y-intercept when the independent variable time, t = 65?

B. What might be predicted when t = 24

C. We have another linear trend equation: W' = c + dt, where d is the slope and c is the y-intercept.
W' = 750 - 10t  Sketch these two linear lines, Y' and W', and find the intersecting point. Write this point as (t, Y').

D. Suppose Y' was a linear equation of your business' revenue, and W' was a linear equation of your business' operating expenses. What would be the significance of this intersecting point found in C. above?

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Algebra: Linear trend equations in business scenarios
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