Writing and Using Linear Functions
Identify the relevant information given to you in the application problem below. Use that information to answer the questions that follow.

Round your answers to two decimal places as needed.
You decide to begin selling bottles of water at the local park. Your supplier provides you with a table of costs to give you an idea of what your financial outlay would be. That table is shown below. The data is exactly linear.
Items Purchased (n)105010050015000
Cost, C, in Dollars16.783.51678351.678350
a) Identify the vertical intercept and average rate of change for the data.

Vertical Intercept =

Average Rate of Change =
b) Use your results from part a) to write the linear function that represents the data table. Use the indicated variables and proper function notation.

C(n)=\displaystyle {C}{\left({n}\right)}=  
Use your function to determine the cost to purchase 430 bottles of water.

C(430)=\displaystyle {C}{\left({430}\right)}=

Write your answer as an Ordered Pair:

Complete the following sentence to explain the meaning of the C(430)\displaystyle {C}{\left({430}\right)}.

The cost to purchase bottles of water is $.
Use your function to determine the number of bottles of water purchased if the cost from the manufacturer is $1,202.40.

n=\displaystyle {n}= when C(n)=1202.4\displaystyle {C}{\left({n}\right)}={1202.4}

Write your answer as an Ordered Pair:

Complete the following sentence to explain the meaning of your answer

bottles of water were purchased at a cost of $.

License