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# Algebraic Methods for solving problems

Part A. Provide answers to the following problems.
1. A car has 16 gallons gas tank. On a long highway trip gas is used at the rate of about 2 gallons/hr. The quantity of gas (in gallons) can be modeled by the equation, G = 16-2t, G stands for gas, and t is for time in hours. At the end of the trip, there are 2 gallons of gas left. How long was the trip (in hours)? Use algebraic method to solve this problem.

2. A woman got a job at a starting salary of \$35,000 a year. If she received an 8% raise on each additional year, how much would her salary be at the beginning of the tenth year? Use future-value method [ŷ= C * (1 + r)t-1 ] where ¿C¿ is the base value, ¿r¿ stands for rate of increase and ¿t¿ stands for time.

[See the attached question file.]

#### Solution Preview

Part A. Provide answers to the following problems.
1. A car has 16 gallons gas tank. On a long highway trip gas is used at the rate of about 2 gallons/hr. The quantity of gas (in gallons) can be modeled by the equation, G = 16-2t, G stands for gas, and t ...

#### Solution Summary

Neat and step-wise solutions to algebraic methods for solving problems are provided.

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