# The price of the car

1. For the purpose of this exercise, you can ignore sales tax.

2. Determine the annual interest rate for your loan using information from a local bank or an internet ad. Reduce this rate by 1%. This is r expressed as a decimal.

3. Decide the time, in years, you wish to repay the loan (typically, 3-7 years, half years are ok). This is t.

4. Determine the interest on your loan, using the formula:

â?¦interest = sale price*rate*time, (I = prt).

5. Determine the total cost of your loan, using the formula:

â?¦Total cost = (sale price*rate)time + Sale Price

6. Model the total cost as a linear function, with time as the independent variable:

â?¦F(t) = (pr)t + p.

7. Divide the total cost by the number of months, to determine the monthly payment.

8. Repeat steps 4 & 5 to determine the cost of the loan if the interest rate had not been reduced by 1% â?" how much money did you save?

9. Summarize your findings by writing a brief statement that includes the pertinent information from the steps above; rates, totals, savings, etc

https://brainmass.com/math/basic-algebra/the-price-of-the-car-430613

#### Solution Preview

The price of the car is $16,000

The average annual interest is 12% in our local bank.

When we reduce the rate by 1%, we can avail the loan for 5

% interest. (r = ...

#### Solution Summary

The price of the car is determined in this tutorial.