Question

The function c=15+9h represents the amount c ( in dollars) it will cost you for a one time lawn care service of h hours. Identify the independent and dependent variables. Is the domain discrete or continuous? Explain

Answer 1

Answer:

see the procedure

Step-by-step explanation:

we know that

A discrete domain is a set of input values that consists of only certain numbers  in an interval

A continuous domain is a set of input values that consists of all numbers in

an interval

In this problem we have

$c=15+9h$

where

c is the amount in dollars

h is the number of hours

The total cost c depends of the number of hours h

so

c is  the dependent variable, and h is the independent variable

You cannot buy part of an hour, only a certain number of hours. Because h represents  the number of hours, it must be a whole number.

So, the domain is 0, 1, 2, 3, 4, 5, ... it is discrete