Question

Jim runs a coffee delivery service. His income can be measured using the function y = 3x + 27, where y is

his income and x is the number of cups of coffee he delivers. What is a reasonable domain and range for
the function in this situation?

Answer 1

The domain is all whole numbers greater than or equal to zero

The range is all real numbers greater than or equal to $27

Explanation:

Let

y -----> the income in dollars

x ----> the number of cups of coffee Jim delivers

we have

`y=3x+27`

The domain is the interval -----> [0,∞)

The domain is all whole numbers greater than or equal to zero (Remember that the number of cups cannot be a negative number or a decimal number)

The range is the interval ------> [27,∞)

`y\geq \$27`

The range is all real numbers greater than or equal to $27

see the attached figure to better understand the problem