1. Complete the table below to solve the equation 2.5x-10.5=64(0.5^x). f(x)=2.5x-10.5, g(x)=64(0.5^x)

2

3

4

5

6

2. A newspaper started an online version 14 years ago. In a recent presentation to stockholders, the lead marketing executive states that the revenues for online ads have more than doubled that of the revenues for printed ads since starting the online version of the paper. Use the graph below to justify the lead executives statement and to determine the approximate year that the two ad revenues were equal.

Graph: Red line with a Y intercept of 3 and an X intercept of 28, blue line with an X and Y intercept at 0.

3. Two ocean beaches are being affected by erosion. The table shows the width, in feet, of each beach at the high tide measured where 1995 is represented by year 0.

Year number, Western beach width (in feet), Dunes Beach width (in feet)

0 | 100 20

5 | 90 45

10 | 80 70

11 | 78 75

12 | 76 80

15 | 70 95

A: describe the patterns shown by erosion data measurements shown for each of the beaches in the table

B. Between which years will the beaches have approx. the same width?

C. Assuming these rates remain constant, what can you do to get a better approximation of when the two beaches will have the same width?