Question

Air force one can travel 630 miles per hour. Let h be the number of hours traveled. the function d=630h gives the distance d in miles that air force one travels in h hours.
A. Identify the independent and dependent variables. Write d=630h in function notation.
B. What are reasonable values for the domain and the range in the situation described?
C. How far can Air Force One travel in 12 hours?

Answer 1

the independent variable is h and the dependent variable is d
function notation for d = 630h would be f(h) = 630h.

reasonable values for the domain (h) would be all integers greater then or equal to 1. reasonable values for range (d) would be integers greater then or equal to 630.

In 12 hrs...
d = 630h...h = 12
d = 630(12)
d = 7560......Air Force 1 can travel 7,560 miles in 12 hrs.

Answer 2

Step-by-step explanation:

A) We've got our function:

d = 630h

We can identify our variables by asking one simple question? Does the hours depends on the distance or does the distance depends on the hours?

In this case, the distance travelled depends on the hours. Therefore:

Hours (h)  is the independent variable and Distance (d) is dependent variable.

f(h) = 630h

B) Reasonable values for the domain would be from 0 to 15 since flights of more than 15 hours are not common.

Therefore:

D:{0-15} The domain goes from 0 to 15.

Range:{0-9600} The range goes from 0 to 9600.

C) Using our function:

d = 630h we can substitute h for 12 since that's the hours we want to know

d = 630*12

d = 7560 miles