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mars1129 [50]
3 years ago
10

John is reading a novel. After 20 minutes of reading, John still has 204 pages of the Co novel left to read. This information is

represent by y=-0.6x+216, where x is the number of minutes John spends reading, and y is the number of pages he has left to read. How many minutes will it take John to read the entire novel?
Mathematics
1 answer:
stellarik [79]3 years ago
4 0
<h3> John will take 360 minutes to read the entire novel.</h3>

Step-by-step explanation:

Here:

x : The number of minutes John spends reading

y : The number of pages he has left to read.

y = -0.6 x + 216

We need to find the <u>value of x for which the pages left to be read is 0 </u>or the book is fully completed.

Putting y = 0,  in y = -0.6 x + 216 we get:

y  =  -0.6 x + 216  ⇒ 0  = -0.6 x + 216

or, 0.6 x  = 216  

or, x = \frac{216}{0.6}  = 360

or, x  = 360 minutes

Hence, John will take 360 minutes to read the entire novel.

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Need help with courseReplace 250 with 575 and -3 with -5.
Svetlanka [38]

Given

The demand function

p(x)=\frac{250}{\sqrt{x}}-5

To determine:

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Explanation:

It is given that,

p(x)=\frac{250}{\sqrt{x}}-5

a) The revenue function is given by,

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\begin{gathered} R^{\prime}(x)=\frac{d}{dx}(R(x)) \\ =\frac{d}{dx}(250\sqrt{x}-5x) \\ =250\times(\frac{1}{2}\times x^{-\frac{1}{2}})-5 \\ =\frac{125}{\sqrt{x}}-5 \end{gathered}

c) The marginal revenue when x=200 is,

\begin{gathered} R^{\prime}(200)=\frac{125}{\sqrt{200}}-5 \\ =\frac{125}{10\sqrt{2}}-5 \\ =8.8388-5 \\ =3.8388 \\ =3.84 \end{gathered}

Hence, the marginal revenue is 3.84.

d) Let y=mx+c is the tangent.

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Hence, the equation of tangent is,

y=3.84x-755.32

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