Tobias sent a chain letter to his friends, asking them to forward the letter to more friends. The number of people who receive the email increases by a factor of 4 every 9.1 weeks, and can be modeled by a function, f(p) which depends on the amount of time, t (in weeks). Tobias initially sent the chain letter to 37 friends.

Write an exponential function describing this scenario. Use "^" to denote an exponent and "/" to denote a fraction sign.

•THIS WAS FROM KHAN ACADEMY

•EXPONENTIAL MODELS IF THAT HELPS

f(p) = 37*4^(t/9.1)

Step-by-step explanation:

The generic model for an exponencial function is:

P = Po*r^t

Where P is the final value, Po is the inicial value, r is the rate and t is the time.

In our case, the function if f(p), the inicial value is 37, the rate is 4 for every 9.1 weeks and the time is t, in weeks.

As the rate occurs for every 9.1 weeks, we need to use this equation:

P = Po*r^(t/9.1)

This way, when t = 9.1, the rate will occur one time (will be r^1)

So, our final equation is:

f(p) = 37*4^(t/9.1)

unless you made a typo, the answers are both a and c.

step-by-step explanation:

1.5/3 is .5 whereas 3/9 is .3333333 not proportional

22/33 is .66666 and 4/6 is also .66666 proportional

2/4 is .5 whereas 142/213 is .66666 not proportional

14/7 is 2 and 7/3.5 is also 2 proportional

you could've also checked it by doing this simple division:

if the larger fraction divides with the smaller fraction to equal 1, it is proportional. so let me show you what i mean:

when i divide 22/33 by 4/6 i get 1, so we know it is proportional, and it is the same with 14/7 and 7/3.5. now if i divide 3/9 by 1.5/3 i get .66666 so therefore we know it is not proportional.

there are many ways to do this so i wanted to show you some possible ways.

hey i have you need to go to the lesson of the dba and go to page 4 there should be cards and they have questions on them and if you click them there will be the answers and you can use that for the dba

step-by-step explanation: