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mars1129 [50]
3 years ago
8

Kyle notices that the number of likes he receives each day on his social media page is a function. He decides to create a graph

representing the feedback over one month. So far he has collected the following data: (0, 0), (1, 12), and (2, 24), where x represents days and y represents likes.
How many likes would Kyle receive on the 30th day?
A) 30
B) 96
C) 144
D) 360
Mathematics
1 answer:
nadya68 [22]3 years ago
5 0

Answer:

D) 360

Step-by-step explanation:

The data Kyle collected is (0, 0), (1, 12), and (2, 24), where x represents days and y represents likes.

We can write a linear function to model this situation.

This will be of the form

y = mx

because it passes through the origin , where m is the slope.

The slope is

m =  \frac{12 - 0}{1 - 0}  = 12

Hence the equation is

y = 12x

To find the number of likes on the 30th day, we put x=30 into the equation to get:

y = 12 \times 30 = 360

The correct choice is D

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Answer:

The first four terms of the series are

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Step-by-step explanation:

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Sum of convergent series is also a convergent series.

We know that,

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Given series,

\sum_{n=0}^\infty \frac9{7^n}+\frac{3}{5^n}

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The first four terms of the series are

(9+3),(\frac97+\frac35),(\frac9{7^2}+\frac3{5^2}),(\frac9{7^3}+\frac3{5^3})

Let

S_n=\sum_{n=0}^\infty \frac{9}{7^n}    and     t_n=\sum_{n=0}^\infty \frac{3}{5^n}

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t_n= 3+\frac35+\frac{3}{5^2}+\frac3{5^3}+.......

    =\sum_{n=0}^\infty3(\frac 15)^n

It is a geometric series.

The common ratio of t_n is \frac15

The sum of the series

t_n=\sum_{n=0}^\infty \frac{3}{5^n}

    =\frac{3}{1-\frac15}

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The sum of the series is \sum_{n=0}^\infty \frac9{7^n}+\frac{3}{5^n}

                                        = S_n+t_n

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