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Kazeer [188]
3 years ago
9

A line that models the data is given by the equation

Mathematics
1 answer:
Mkey [24]3 years ago
8 0

Answer:

Kindly check explanation

Step-by-step explanation:

Give the line of best fit :

y = 1.62x + 18 ; where ;

y = wait time ; x = number of staffs available

If slope of the line is -1.62.

The slope of linear graph represents the ratio of change in the y variable and the x variable. With a slope value of - 1.62, the rate of change is negative and thus an increase in x will lead to a decrease in y. This means that for every unit increase in the number of staffs, the wait time reduces at a rate of 1.62 per unit.

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Using an exponential function, it is found that it will take 24 years for the current population of 4800 deer to reduce to 600.

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An exponential function is modeled by:

y = ab^x

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In this problem, considering the initial value of 4800, and that the population halves every 8 years, the equation is given by:

A(t) = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}

The population will be of 600 when A(t) = 600, hence:

A(t) = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}

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\left(\frac{1}{2}\right)^{\frac{t}{8}} = \frac{600}{4800}

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More can be learned about exponential functions at brainly.com/question/25537936

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