Question

LOTS OF POINTS TO WHOEVER ANSWERS PLZ HELP Write equations for each post (fill in the blanks) Student Amber Ben Carter Initial Post 3 2 10 Rate of Growth 300% or 3.0 200% or 2.0 1000% 10.0 Equation f(x) = 3(1.00 + 3.00)x f(x) = 3(4)x F(x) =2(1.00+2.0)x f(x)=2(3)x F(x)= 10(1.00+10.0)x F(x)=10(11)x Using the information from the table above answer the following (use the ^ symbol for exponents): 1. Write an exponential function to represent the spread of Ben’s social media post. 2. Write an exponential function to represent the spread of Carter’s social media post. 3. Graph each function using at least 3 points for each line. All graphs should be placed together on the same coordinate plane, so be sure to label each line. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology. Paste your graph below: 4. Using the functions for each student, predict how many shares each student’s post will have received on Day 3 and Day 10. Justify your answers. Day = x Amber Ben Carter 3 10 5. If Amber decides to mail copies of her photo to the 45 residents of her grandmother’s assisted living facility, the new function representing her photo shares is f(x) = 3(4)x + 45. How does this graph compare with the original graph of Amber’s photo share? 6. Based on your results, which students’ post travels the fastest? How is this shown in the equation form of the functions? 7. If you had to choose, would you prefer a post with fewer friends initially but more shares, like Amber, or more friends initially but fewer shares? Justify your answer with your calculations from previous questions. If I had to choose, I would be Ben because it steadily increases by 3 times than yesterday so all my friends can see it.

Answer 1

Answer:

1. 2*(3)^x This is because he starts off with two friends (so it's times 2) and each person shares it with 3 people (the 3) each day (x is time in days)

2. The same thing but different numbers, this time it's 10 people at first but only sharing to 2 people

10*(2)^x

3. Can't help you on this one, just use a graphing software or something or whatever they tell you to use

The first three points are given to you for Ben, but for Carter its 

Day  # of Shares

0      10

1      20

2      40

4. Plugin x values for 3 and 10

Ben: 2(3)^3 = 54 and 2(3)^10 = 118098

Carter: 10(2)^3 = 80 and 10(2)^10 = 10240

Amber: 3(4)^3 = 192 and 3(4)^10 = 3145728

5. The original graph and the new graph of Amber is the same except for that the graph is moved up 45 units up because Amber shared it with 45 people flat at her grandma's living facility

6. Amber's post obviously grows the fastest. This is true because she has the greatest growth value and she also has a good headstart of 45 elderly people. 

7. This one is up to you, if you want more views in general then just agree with Amber, but if you want less view but with a good starting amount, then agree with Carter. Ben is a good mix if you can't decide or don't care