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 glow sticks 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)	10	50	100	500	1000	5000
Cost, C, in Dollars	18.8	94	188	940	1880	9400

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)=C(n)=

Use your function to determine the cost to purchase 330 glow sticks. C(330)=C(330)= Write your answer as an Ordered Pair: Complete the following sentence to explain the meaning of the C(330)C(330). The cost to purchase glow sticks is $.

Use your function to determine the number of glow sticks purchased if the cost from the manufacturer is $1,560.40. n=n= when C(n)=1560.4C(n)=1560.4 Write your answer as an Ordered Pair: Complete the following sentence to explain the meaning of your answer glow sticks were purchased at a cost of $.

this was all to the question