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Studentka2010 [4]

3 years ago

15

Timmy is building a new website. Right after he starts, he has 2 visitors. He expects his visitors to increase according to a mo

del he developed for his other websites growth, v(t)=10t+b, where b is the number of visitors right afte he starts building his website, t is the time since he stgarted building his website in weeks and v(t) is the nunber of total visitors after t weeks.
How many visitors does he get 4 weeks after starting to build his website?

How any new visitors does he get per week?

1 answer:

Alex73 [517]3 years ago

5 0

Answer:

He gets 42 visitors 4 weeks after starting to build his website.

He gets 10 new visitors per week.

Step-by-step explanation:

Equation for the number of visitors:

The equation for the number of visitors Timmy's new website receives after t weeks is:

$v(t) = 10t + b$

In which b is the number of visitors rightly after he starts.

Timmy is building a new website. Right after he starts, he has 2 visitors.

This means that $b = 2$ , so:

$v(t) = 10t + 2$

How many visitors does he get 4 weeks after starting to build his website?

This is v(4). So

$v(4) = 10(4) + 2 = 40 + 2 = 42$

He gets 42 visitors 4 weeks after starting to build his website.

How any new visitors does he get per week?

After 0 weeks:

$v(0) = 10(0) + 2 = 0 + 2 = 2$

After 1 week:

$v(1) = 10(1) + 2 = 10 + 2 = 12$

2 weeks:

After 2 week:

$v(2) = 10(2) + 2 = 20 + 2 = 22$

22 - 12 = 12 - 2 = 10

He gets 10 new visitors per week.

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a) We have the population in the year 2000, which is 200 000 people. Let us write $P_0 = 200 000$ . For the population in 2001 we will use $P_1$ , for the population in 2002 we will use $P_2$ , and so on.

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