On a day, a video was posted online, 5 people watched the video. The next day the number of viewers had doubled. This tend continues each day. Write an equation modeling the views, v, as a function of time.

On which day will 640 people see the video? Explain if you can.

Step-by-step explanation:

The number of viewers is a geometric sequence with 5 viewers on day 1 and a common ratio of 2. The general term will be ...

  v(t) = 5·2^(t-1) . . . . . . viewers on day t

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We want to find t for v(t) = 640.

  640 = 5·2^(t-1) . . . . . use v(t)=640

  128 = 2^(t-1) . . . . . . . divide by 5

  2^7 = 2^(t -1) . . . . . . . recognize 128 = 2^7

  7 = t -1 . . . . . . . . . . . . equate exponents of 2

  8 = t . . . . . . . add 1

There will be 640 viewers on day 8.

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Comment on the equation and solution

The problem statement doesn't tell you how time is counted. If you treat the problem as one requiring an exponential function, you can also write the equation as ...

  v(t) = 5·2^t

where t is the number of days after the first day. Then the solution will be ...

  640 = 5·2^7   ⇒   t = 7 . . . . days after the first day

7 days after the first day is the same as Day 8, if the first day is Day 1.

i think it is everything has to equal 180 so, if i correct 4=c. 6=d. 8=a. 7=b. and the last question would be c. because they are parallel lines and they are congruent.

step-by-step explanation:

the reason everything has to equal to 180 is because that is how it works. i'm guessing that is its rule. 4 and 8 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 6 and 7 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 60+60 is 180. so, now you have your answer

29.5977692753

step-by-step explanation: