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.
Gustavo got a job selling bags of gold fish at the local park and swap. He is paid a small fixed amount plus a percent of each item he sells. The table below shows how much he gets paid depending on the number of items sold. Use that table to answer the following quesitons The data is exactly linear.
Items Sold (n)105010050015000
Pay, P, in Dollars290.7333.5387815281.075630
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.

P(n)=\displaystyle {P}{\left({n}\right)}=  
Use your function to determine how much Gustavo will be paid if he sells 350 bags of gold fish.

P(350)=\displaystyle {P}{\left({350}\right)}=

Write your answer as an Ordered Pair:

Complete the following sentence to explain the meaning of the P(350)\displaystyle {P}{\left({350}\right)}.

If Gustavo sells bags of gold fish he will earn $.
Use your function to determine the number of bags of gold fish sold if Gustavo's pay is $932.70.

n=\displaystyle {n}= when P(n)=932.7\displaystyle {P}{\left({n}\right)}={932.7}

Write your answer as an Ordered Pair:

Complete the following sentence to explain the meaning of your answer

Gustavo sold bags of gold fish to earn $.

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