Question

At a convenience store, bottles of water cost $1.20 each. The function f(x) = 1.2x gives the

cost of buying x bottles. Graph this function and give its domain and range.

Answer 1

The graph in the attached figure

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

The range is all real numbers greater than or equal to zero

Explanation:

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
`y/x=k` or
`y=kx`

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem we have

`f(x)=1.2x`

where

x ----> is the number of bottles of water

f(x) ---> is the cost of buying x bottles

In this problem the function f(x) represent a proportional relationship

using a graphing tool

The graph in the attached figure

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

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

The range is the interval ------> [0,infinite)

The range is all real numbers greater than or equal to zero

Remember that the number of bottles (domain) and the cost (range) cannot be a negative number