math homework

Name _______________________________________

MBA 501 Math & Stats for Business

Week 6 Homework Assignment

Instructions

1. This assignment is to be done individually . This is not a group assignment.

1. The homework assignment is due in the beginning of the next class. Please bring a hard copy with you to the class.

1. If you have difficulty printing the assignment, please email the assignment to the instructor before the class.

1. Late or redone homework assignments will be accepted only at the final class (up to a total of two).

1. Only explained and detailed answers will be accepted.

1. Define, derive, and graph the following functions (Attention: graphs can be submitted separately in a hand drawn paper, make sure you put numbers, axes names, tables, and points coordinates. Please do not draw two random axes with no references on them):

(a to d 1 point each, e to j 2 points each)

a.

b.

c.

d.

e.

f.

g.

h.

i.

j.

2. Case Study (1 point each)

The approximate average times (in minutes per month) spent on Facebook per unique visitor in the United States on a mobile device are given in the following table for the last six months of 2012 and first two months of 2013. (Data from: www.comScore.com.)

Month

July 2012

August 2012

Sept. 2012

October

2012

Nov. 2012

Dec. 2012

Jan. 2013

Feb.

2013

Minutes

500

510

520

580

615

700

760

785

a. Let x = 0 correspond to July 2012. Use the data points from July, 2012 and February, 2013 to find a function of the form that models these data.

b. Use exponential regression to find a function g that models these data, with x = 0 corresponding to July, 2012.

c. Assume the model remains accurate and estimate the minutes per month in April, 2013.

d. According to this model, when will the minutes per month reach 1000?