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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?
Mathematics
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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