Question

PLZ HELP MARKIN BRAINIEST!!!

Answer 1

Answer:

Step-by-step explanation:

The first question is asking you how many visitors there were, using the function model provided, when x = 0.  Filling that in gives you:

$y=18,582(.90)^0$

Anything to the 0 power = 1, so

y = 18,582(1) and

y = 18,582

The second question is asking you how many visitors there were on the 9th weekend, when x = 9:

$y=18,582(.90)^9$ and

$y=18,582(.387420489)$ so

y = 7199

The last question is asking on what weekend (unknown x) are there

y = 15.051 visitors.  That requires using a log to solve for x.  Set it up first:

$15,051=18,582(.90)^x$

Start by dividing both sides by 18,582 to get:

$.8099773975=(.90)^x$

Now we need to take the log of both sides to get that x out from its exponential position.  By taking the log of the right side, we are given the ability to bring the x down in front:

log(.8099773975) = x log(.90)

Now divide both sides by log(.90) to get

x = 2.000

That means that on the second weekend, there were approximately 15,051 visitors.