Question

1-1 Relations and Functions

Marcus drives 32 miles to work each day. He records the number of minutes it takes him to drive and writes his average speed as the input
and the number of minutes as the output. He recorded his information in a table, like the one shown below.
Speed
(mph)
60
Time
(minutes)
32
45
43
55
35
50
38
62
31
If Marcus drives no faster than 65 miles per hour, what is the domain that includes all possible average speeds using interval notation?
A [0.65)
B. [65,00)
C. (0.65)
D. (65.00)

Answer 1

{0, 65]

Explanation:

A function shows the relationship between two variables (an independent and dependent variable). The independent variable is not dependent on other variables, it is considered as the input while the dependent variable is dependent on other variables and considered as output.

The speed of Marcus must not be faster than 65 mph, hence speed ≤ 65 mph. This means that Marcus can drive with speed ranging from 0 mph to 65 mph, hence 0 ≤ speed ≤ 65 mph. This is represented using the interval notation:

[0, 65]