Question

A student reads 3 pages of a book every

5 minutes for 1 hour. Write a function that

models this situation. Determine a

domain from the situation and identify the

range. Use interval notation for the

domain and range.

Answer 1

The answer is below

Explanation:

A function show the relationship between an independent variable and a dependent variable. An independent variable (input) is a variable that does not depend on other variable while a dependent variable (output) is a variable that depends on other variables.

The number of pages read is the dependent variable. Let it be represented as y while the time is the independent variable, let it be represented as x.

Since the student reads 3 pages of a book every 5 minutes, therefore the function is:

`y=(3x)/(5)`

Domain is the set of all input (independent variable) while range is the set of all output (dependent variable)

The domain is from 5 minutes to 1 hour, that is 5 minutes to 60 minutes.

Domain = [5, 60]

When x = 60, y = 3(60)/5 = 36

The range = [3, 36]