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3 years ago

If the perimeter of the adult pinball machine is 172 inches, what is the length, in inches of G’A’?

Mathematics

1 answer:

quester [9]3 years ago

8 0

If you have ever seen a pinball machine, you would know that it is shaped like a rectangular box. Since a rectangle has two sets of equal parallel lines, then you would have to know the length and the width. Its perimeter is equal to the total length of all sides. Thus, the equation is 2L + 2W = 172 inches. However, since there is no other data other than the perimeter, I can't give a definite numerical answer. The only answer I could give is in variables. Thus, the length of the pinball machine is

2L = 172 - 2W

L= 86 - W

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kifflom [539]

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<h3>What is an exponential function?</h3>

An exponential function is modeled by:

$y = ab^x$

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b is the rate of change, as a decimal.

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:

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

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

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

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

$\left(\frac{1}{2}\right)^{\frac{t}{8}} = \left(\frac{1}{2}\right)^3$

Hence:

t/8 = 3.

t = 24.

It will take 24 years for the current population of 4800 deer to reduce to 600.

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

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Answer:

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