# Forming Equations

Solve the following problems showing all your work every step of the way.

1. You have been given information that if a student is a resident and they enroll for more than 12 hours, then their tuition will equal $120 plus $10 per hour for every hour greater than 12. Create an equation that would allow a student to simply plug in their number of hours enrolled and calculate their tuition. Give a specific example to show your equation works.

2. Research: There are many formulas that are used in our everyday lives. Use the library or the internet to research an example of a formula, explain the variables of the formula, and show a specific example by plugging in values for the particular formula.

3. Set up three different equations that have the solution of 8. Solve your equations for your particular variable to prove the solution is 8.

4. A business buys magazines for $2.50 each and sells the same magazine for $3.50 each. How many magazines should the business sell in order to profit $125? Create an equation by letting m equal the number of magazines. Solve the equation for m.

Objective: Calculate trade and cash discounts.

Calculate interest and interest rates.

Use formulas and equations to solve problems.

#### Solution Preview

1. You have been given information that if a student is a resident and they enroll for more than 12 hours, then their tuition will equal $120 plus $10 per hour for every hour greater than 12. Create an equation that would allow a student to simply plug in their number of hours enrolled and calculate their tuition. Give a specific example to show your equation works.

Tuition = $120 + $10(H-12) for H>=12, and Tuition = $120 for H<=12 , where H = number of hours enrolled

$120 is the fixed component of the tuition and $10(H) is the variable component, where total tuition increases by $10 for every additional hour enrolled greater than 12

Example: Joe enrolls for 15 hours, then his ...

#### Solution Summary

Objective: Calculate trade and cash discounts.

Calculate interest and interest rates.

Use formulas and equations to solve problems.