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Nookie1986 [14]
3 years ago
6

PLEASE HELP MEE! the table below shows y, the average speed of a cyclist in miles per hour, and x, the time in hours that it tak

es to cyclist to complete a bicycle tour. which rational function best models the data in the table?

Mathematics
2 answers:
sergiy2304 [10]3 years ago
5 0

Answer:

The answer is D: 96/x

Step-by-step explanation:


Alla [95]3 years ago
3 0
By definition it is known that speed equals the distance between time.
 Therefore, according to the definition, the last two options are the possible answers:
 Let's evaluate the third option:
 y = (3/2) * (1 / x)
 x = 12
 y = (3/2) * (1/12) = 3/24 = 1/8
 The table is not fulfilled
 Let's evaluate the fourth option:
 y = (96 / x)
 x = 12
 y = (96/12) = 8
 Yes, the table is met.
 answer:
 y = (96 / x)
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How would I do the steps to solve this?
allsm [11]

Answer:

The maximum revenue is 16000 dollars (at p = 40)

Step-by-step explanation:

One way to find the maximum value is derivatives. The first derivative is used to find where the slope of function will be zero.

Given function is:

R(p) = -10p^2+800p

Taking derivative wrt p

\frac{d}{dp} (R(p) = \frac{d}{dp} (-10p^2+800p)\\R'(p) = -10 \frac{d}{dp} (p^2) +800 \ frac{d}{dp}(p)\\R'(p) = -10 (2p) +800(1)\\R'(p) = -20p+800\\

Now putting R'(p) = 0

-20p+800 = 0\\-20p = -800\\\frac{-20p}{-20} = \frac{-800}{-20}\\p = 40

As p is is positive and the second derivative is -20, the function will have maximum value at p = 40

Putting p=40 in function

R(40) = -10(40)^2 +800(40)\\= -10(1600) + 32000\\=-16000+32000\\=16000

The maximum revenue is 16000 dollars (at p = 40)

3 0
2 years ago
A customer purchased a total of 23 hamburgers and chicken sandwiches. Each hamburger costs $3.50 and each chicken sandwich costs
Bezzdna [24]

Answer:

25 2/7

Step-by-step explanation:

88.50/3.50 divide 88.50 by 3:50

6 0
3 years ago
C) 0.090909
Natasha_Volkova [10]

Answer:

I think its D

Step-by-step explanation:

3 0
2 years ago
Person A can paint the neighbor's house 6 times as fast as Person B. The year A and B worked together it
uranmaximum [27]

Person A takes 2.3 days to paint the house working alone

Person B takes 13.8 days to paint the house working alone

<em><u>Solution:</u></em>

Let "x" be the number of days it takes person A  to paint the house

Person A can paint the neighbor's house 6 times as fast as Person B

Therefore.

Number of days it takes person B to paint the house = 6x

Their rates of painting are added to get  the rate working together

\frac{\text{1 house}}{\text{x days}} + \frac{\text{1 house}}{\text{6x days}} = \frac{\text{1 house}}{\text{2 days}}

\frac{1}{x} + \frac{1}{6x} = \frac{1}{2}\\\\\frac{1 \times 6}{6x} + \frac{1}{6x} = \frac{1}{2}\\\\\frac{7}{6x} = \frac{1}{2}\\\\\ x = \frac{7}{3}= 2.3

Thus person A takes 2.3 days to paint the house working alone

Person B = 2x = 6(2.3) = 13.8

Thus person B takes 13.8 days to paint the house working alone

3 0
3 years ago
Explain how to determine the number of square feet required to cover your rectangular garden that has a length of 10 feet and a
abruzzese [7]

Answer:

80 feet

Step-by-step explanation:

you would do 8*10 to get the total area so the length *width

8 0
3 years ago
Read 2 more answers
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