Question

The function ​f(x)​ is the wait time for an amusement park ride where x is the number of people in line. What is the practical domain for the function f(x)?
all integers
all whole numbers
all real numbers
all positive integers

Answer 1

Answer:

The domain would be the set of all whole numbers.

Step-by-step explanation:

Integers are { ......-3, -2, -1, 0, 1, 2, 3....}

Whole numbers are {0, 1, 2, 3, ...... }

Real numbers are all numbers except imaginary number,

Positive integers are {1, 2, 3, 4, ....}

Given,

In the function f(x),

x represents the number of people in line,

We know that number of people can not be negative and it can be 0,

Thus, the possible value of x are 0, 1, 2, 3,......

Also, the domain of a function is the set of all possible value of input,

Since,  x represent the input for the function f(x),

Thus, the domain of f(x) would be the set of all whole number.

Second option is correct.

Answer 2

Answers: Well just by looking at it it's gonna be the same

Step-by-step explanation:Because f(x) = 5x is linear. Just a straight line with a slope of +5. So if the intervals are both a difference of 1, then the average rate of change will be the same.  

f(x2) - f(x1) over x2 - x1. That's the formula for average rate of change.  

So for Section A:  

f(x) = 5x, (0,1)  

[f(1) - f(0)]/(1-0)  

= [5(1) - 5(0)]/1  

=(5)/1  

=5  

Do the same for section B and you'll get 5 as well.