Question

An internet cafe charges a base rate to connect to WiFi. A user must also pay an additional hourly rate for the service. The total charge to the user is represented by this linear function: f(x) = 0.75x + $3.50. 1. What does f(x) represent in the function? 2. What does the variable "x" represent in the function? 3. What is the base rate for the internet connection? 4. What is the hourly charge for using the service? 5. Kyle uses the cafe's service for an hour and a half. To the nearest cent, what is the total amount that Kyle pays?

Answer 1

1. What does f(x) represent in the function?

In the given function
`f(x)` refers to the total charge for the Wi-Fi.

2. What does the variable "x" represent in the function?

The variable
`x` represents each hour, presents the time. When we have time in a relation, it's always represented by
`x`, because that's the independent variable.

3. What is the base rate for the internet connection?

The base rate for the internet connections is 0.75, because this is a linear function, and its slope is always the ratio of change.

4. What is the hourly charge for using the service?

We can find the hourly charge for using the service by replacing
`x=1` in the function:

`f(1)=0.75(1)+3.50=4.25`

So, after one hour, the service would cost $4.25.

5. Kyle uses the cafe's service for an hour and a half. To the nearest cent, what is the total amount that Kyle pays?

If Kyle uses the service for one hour and a half, the cost would be:

`f(1.5)=0.75(1.5)+3.50=4.625`

Therefore, after one hour and a half, the service would cost $4.62.

Answer 2

1. f(x) is the total cost

2. x is the hours spent on the internet

3. the base rate is 3.50

4. hourly charge is .75

5. 4.63

Explanation:

1. f(x) is the total cost or the amount of money he has to pay

2. x is the hours spent on the internet, it is the time spent on the internet

3. the base rate is 3.50, or the minimum amount just to get connected

4. hourly charge is .75

5. Let x = 1.5 for the hour and a half

f(1.5) = .75(1.5) + 3.5

1.125+3.5

4.625

To the nearest cent

4.63