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3 years ago

A copy machine makes 98 copies in 3 minutes and 30 seconds how many copies does it make per minute

Mathematics

1 answer:

Mrrafil [7]3 years ago

8 0

Answer:

3 min 30 seconds= 210 seconds

In 210 seconds, number if copies machine make= 98

In 1 second= 98/210 copies

In 60 seconds= 60*(98/210)

= 28 copies

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------------------------------------

The given function is:

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------------------------------------

Question a:

The y-intercept is g(0), thus:

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------------------------------------

Question b:

The horizontal asymptote is the limit of the function when x goes to infinity, if it exists.

$\lim_{x \rightarrow -\infty} g(x) = \lim_{x \rightarrow -\infty} 3 - 8\left(\frac{1}{4}\right)^{2-x} = 3 - 8\left(\frac{1}{4}\right)^{2+\infty} = 3 - 8\left(\frac{1}{4}\right)^{\infty} = 3 - 8\frac{1^{\infty}}{4^{\infty}} = 3 -0 = 3$

--------------------------------------------------

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Thus, the horizontal asymptote is x = 3.

--------------------------------------------------

Question c:

The limit of x going to infinity of the function is negative infinity, which means that the function is decreasing.

--------------------------------------------------

Question d:

Exponential function has no restrictions in the domain, so it is all real values, that is $(-\infty,\infty)$ .
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--------------------------------------------------

The sketching of the graph is given appended at the end of this answer.

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A copy machine makes 98 copies in 3 minutes and 30 seconds how many copies does it make per minute​

A copy machine makes 98 copies in 3 minutes and 30 seconds how many copies does it make per minute