a function that model the number of people that receives email in week t is
.
<u>Step-by-step explanation:</u>
Here we have , Tobias sent a chain letter to his friends . The number of people who receives the email increases by a factor of 4 in every 9.1 weeks , and can be modeled by a function P, which depends on the amount of time t weeks . Tobias initially sent letter to 37 friends . We need to write a function that model the number of people that receives email in week t . Let's find out:
Basically it's an exponential function as
, In question initial value is 37 & and for every 9.1 weeks there is increase in people by a factor of 4 i.e.
⇒ 
But , wait ! People increase in every 9.1 weeks not every week so modified equation will be :
⇒
Therefore , a function that model the number of people that receives email in week t is
.
number one is 280 because 4/2 is 2 + 2 is 4 then you multiply 7 and that is 28 ^ 2 which is 280
The direct variation equation is y =kx
Lets see:-
4y/4 = x/4
y = 1/4x
<span>Answer: Yes, this is a direct variation </span>
Ok so first we need to distribute so:
<span>=<span><span><span><span><span>(4)</span><span>(b)</span></span>+<span><span>(4)</span><span>(2)</span></span></span>+</span>−<span>3b
</span></span></span>=<span>4b+8+−3b
</span>So now that we've distrubuted that we are now going to Combine Like Terms:
<span>=<span><span><span>4b</span>+8</span>+<span>−<span>3b
</span></span></span></span><span>=<span><span>(<span><span>4b</span>+<span>−<span>3b</span></span></span>)</span>+<span>(8)
Finally your answer is:
</span></span></span><span>=<span>b+<span>8
I hope this helps you!</span></span></span>