Question

PLEASE HELP THIS IS THE LAST DAY I CAN TURN THIS IN!!! 75 points!!
PLEASE EXPLAIN YOUR WORK ALSO!

Cameron relies on his customers to tell their friends about his business. His business grows as each customer continues to tell others about his or her experience and they in turn tell others as well.

The table shows the number of people who have recommended Cameron’s business for different days after it first opens.

Time (days), x 3 4 7 10 12 13 17 18 21 27 30
Number of personal recommendations, y 12 14 18 23 28 31 46 50 67 118 157

(a) Write the exponential regression equation that models the data.
(b) Use the equation to estimate the number of personal recommendations 60 days after Cameron opens his business. Show your work.

Answer 1

Using technology, the regression equation is

y=9.08292(1.09965)ˣ. 

The number of recommendations after 60 days is 2113.277 ≈ 2113.

Explanation

I used Desmos to graph the points, then entered the expression y₁~a*bˣ to calculate the regression.

I then substituted 60 in for x in the regression equation to get the answer of 2113.