Question

Please please helpp i will mark brainliest!!! 100 points !! ill mark brainliest if its correct.

Answer 1

Answer:

Page 1:

f(2) = -5.5

f(3) = -3

f(4) = -0.5

f(5) = 2

f(6) = 4.5

Notice the values are increasing by 2.5

g(2) = 16

g(3) = 8

g(4) = 4

g(5) = 2

g(6) = 1

Notice the values are getting divide by half

Page 2:

A:

At 14 years, the revenue for online ads are a little over 4 million dollars. However, for printed ads, the revenue is only about 1.5 million dollars.  If you double 1.5 million, you will only get 3 million. That is less than 4 million. So, the lead marketing executive was correct.

B:

The approximate year that the two revenues were equal was approximately 7 and a half (or 7.5).

Page 3:

A:

For the Western Beach, the width is decreasing by exactly 2 feet per year. For the Dunes Beach, the width is increasing by exactly 5 feet per year.

B:

The beaches will have the same width somewhere between years 11 and 12.

C:

A good way to get an even better approximation on when these beaches will have the same width, is to write them in slope-intercept form. The Western Beach equation will look like f(x) = -2x + 100 and the Dunes Beach equation will look like g(x) = 5x + 20.

Answer 2

Answers and Step-by-step explanations:

1. We need to plug in values of x into the functions f(x) and g(x):

f(2) = 2.5 * 2 - 10.5 = -5.5                         g(2) = $64 * (0.5^2)$ = 16

f(3) = 2.5 * 3 - 10.5 = -3                            g(3) = $64 * (0.5^3)$ = 8

f(4) = 2.5 * 4 - 10.5 = -0.5                         g(4) = $64 * (0.5^4)$ = 4

f(5) = 2.5 * 5 - 10.5 = 2                             g(5) = $64 * (0.5^5)$ = 2

f(6) = 2.5 * 6 - 10.5 = 4.5                          g(6) = $64 * (0.5^6)$ = 1

2.

(a) Notice that at 14 on the x-axis, the blue line is above 4. Meanwhile, at 14, the red line is less than 2. Obviously, we can see that if the printed ad revenue was less than 2 and the online ad revenue was greater than 4, that's more than a double, so the lead marketing executive is correct.

(b) The approximate year that the revenues were equal is the place where the lines intersect. It's approximately at Year 7.5.

3.

(a) The Western Beach is clearly decreasing; it is decreasing by 2 ft per year. Meanwhile, the Dunes Beach is clearly increasing; it's increasing by 5 ft per year. (I'm not sure what kinds of "patterns" you're looking for).

(b) Year 11 and 12; this is because here, Western is going from 78 to 76 ft and Dunes is going from 75 to 80, so they'll likely coincide sometime in that time interval.

(c) One thing you can do is to create equations (of the form y = mx + b) for each of the beaches and then set those linear equations equal to each other.