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saw5 [17]
3 years ago
14

Video rental stores are being replaced by streaming subscriptions. In one area, there were 10 video rental locations in 1996, bu

t by 2016, that number had dwindled to 1. Assuming a constant decrease in the number of stores, calculate the unit rate of change (slope) from 1996 to 2016.
Mathematics
1 answer:
SSSSS [86.1K]3 years ago
7 0

Answer:

The unit rate is -1 store per year

Step-by-step explanation:

Let

x -----> the number of years since 1996

y ----> the number of video rental stores

we know that

The year 1996 represent x=0

so

2016 represent ----> x=2016-1996=10 years

we have the points

(0,10) and (10,1)

The unit rate is equal to the slope of the linear equation

<em>Find the slope m</em>

m=(1-10)/(10-0)

m=-1\ stores/year ----> is negative because is a decreasing function

therefore

The unit rate is -1 store per year

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Which statement is true about the extreme value of the given quadratic equation? y = -3x2 + 12x − 33
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Answer:

The equation has a maximum value with a y-coordinate of -21.

Step-by-step explanation:

Given

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Required

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First, write out the leading coefficient

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-3 < 0 means that the function would be a downward parabola;

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The maximum value is:

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