I. How much does Tom really make in a given month?
Tom claims that
he needs to bring home $1000/month in order to pay his bills.
As stated previously, Tom only gets to keep 65% of money collected
from jobs. His boss recieves the other 35%. Given that Tom works
two day a week,collects $400/week, that gas is currently at $1.40/gallon
and Tom's Nissan get 31 miles to the gallon (it holds 20 gallons),
how much does he really make in a year? Does he make what he needs?
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II. A "Model" situation.
Luckily for Tom, gas prices have recently been dropping. Below is a table that shows how much he makes a month based on the gas prices for that month (assuming that each gas price remains in place for one).
|Net Income ( in dollars)||
|Gas Price (in dollars)||
Could a linear function be used to model this data? If not, tell why not.
If so, give the function that best fits the data, plot the data and the "line of best fit." Ask how well your function models the data. What are the implications of your findings for Tom?
What would the gas price have to be for Tom to meet his monthly needs?
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III."Where will Tom lay his head?"
Suppose it is a week in which Tom has two days worth of work in Walterboro. Gas is selling for $1.25/gallon. He knows of a hotel in Walterboro that has rooms for $30/night. Should he stay or go home to Statesboro and return the next day? Which way does he come out on top financially?
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