Question

Jamal launched a website for his custom shoe store. On the first day, 3 visitors registered on the website. On the third day, 27 visitors registered on the website. If Jamal uses an exponential function to model the data from the first and third days, how many visitors will he predict to register on the fifth day.

Answer 1

To predict the number of visitors on the fifth day, we can assume an exponential function and use the growth rate from the first and third day. The predicted number of visitors on the fifth day is 243.

Step-by-step explanation:

To predict the number of visitors on the fifth day, we need to determine the pattern in the data. If we assume an exponential function, we can use the information from the first and third days to find the growth rate. Given that there were 3 visitors on the first day and 27 visitors on the third day, we can set up the following equation:

27 = 3 * r^(3-1)

Simplifying, we get:

27 = 3 * r^(2)

Dividing both sides by 3, we get:

9 = r^2

Taking the square root of both sides, we get:

r = 3

Now that we have the growth rate, we can use it to predict the number of visitors on the fifth day:

Visitors on the fifth day = 3 * r^(5-1) = 3 * 3^(4) = 3 * 81 = 243

Answer 2

Jamal predicts that 243 people will visit his site on the fifth day.

Step-by-step explanation:

Since Jamal launched a website for his custom shoe store, and on the first day, 3 visitors registered on the website, while on the third day, 27 visitors registered on the website, if Jamal uses an exponential function to model the data from the first and third days, to determine how many visitors will predict to register on the fifth day, the following calculation must be performed:

Day 1 = 3

Day 2 = 3 ^ 2 = 9

Day 3 = 3 ^ 3 = 27

Day 4 = 3 ^ 4 = 81

Day 5 = 3 ^ 5 = 243

Therefore, Jamal predicts that 243 people will visit his site on the fifth day.