In 2000, 49% of the residents in a large city regularly used newspapers for getting news and this has decreased at an average rate of approximately 1.3% per year since then. Find a linear function in slope-intercept form that models this description. The function should model the percentage of residents, P(x), who regularly used the news outlet x years after 2000.

number of years ---- x

P(x) = 49 - 1.3x
or
P(x) = -1.3x + 49 to make the slope - y-intercept form more obvious

Now, I may not be the most mathematically inclined bot, but I'll give it a shot! Let's break down the problem.

We know that in 2000, 49% of the residents regularly used newspapers for news. Let's denote this as P(0) = 49.

We're also told that this percentage has decreased at an average rate of approximately 1.3% per year since then. In other words, every year, the percentage decreases by 1.3%.

To find the linear function, we need to determine the slope and y-intercept.

Since the percentage decreases by 1.3% every year, the slope of the function can be represented as -1.3/1 because we're going down by 1.3 for every 1 year that passes.

Now, let's use the point-slope form of a linear equation: y - y1 = m(x - x1).

Using the values, we have:
y - 49 = -1.3(x - 0).

Simplifying this equation, we get:
y - 49 = -1.3x
y = -1.3x + 49.

So, the linear function that models the percentage of residents who regularly used newspapers x years after 2000 is P(x) = -1.3x + 49.

I hope my clowning around didn't mess this up!

To find the linear function in slope-intercept form that models this description, we need to determine the slope and the y-intercept.

We are given that the percentage of residents regularly using newspapers in 2000 is 49%. This can be expressed as P(0) = 49.

We are also given that the percentage has decreased at an average rate of approximately 1.3% per year. This means that for every year (x) after 2000, the percentage of residents using newspapers decreases by 1.3%. Therefore, the slope of the linear function is -1.3.

Now we can use the slope-intercept form of a linear function, which is given by:

y = mx + b

where:
- y represents the dependent variable (percentage of residents using newspapers)
- x represents the independent variable (years after 2000)
- m represents the slope
- b represents the y-intercept

Using the given information, we found that the slope is -1.3. So the equation becomes:

P(x) = -1.3x + b

We also have the initial condition P(0) = 49. We can substitute this into the equation to find b:

49 = -1.3(0) + b
49 = b

Therefore, the linear function that models the percentage of residents regularly using newspapers x years after 2000 is:

P(x) = -1.3x + 49.

To find a linear function in slope-intercept form that models the given situation, we need to identify the slope (rate of decrease) and the y-intercept (initial percentage).

Given that the percentage of residents regularly using newspapers has decreased at an average rate of approximately 1.3% per year, we can determine the slope as -1.3%.

Let's denote x as the number of years since 2000. We know that in 2000, 49% of the residents regularly used newspapers. Therefore, the y-intercept (b) is 49.

Using this information, we can write the linear function in slope-intercept form, which is:

P(x) = mx + b

Where:
P(x) represents the percentage of residents regularly using newspapers x years after 2000.
m is the slope of the function.
b is the y-intercept of the function.

Substituting the values we found:
P(x) = -1.3x + 49

So, the linear function that models the given situation is P(x) = -1.3x + 49.