 Independent Variable ◦ the value being manipulated or changed  Dependent Variable ◦ Depends on x. ◦ It’s the result of the independent variable being manipulated  Equation of a line (linear equation) ◦ y=mx+b

 Total cost of gas, number of gallons of gas  Perimeter of a square, length of a side  Number of slices of bread, total calories  Speed of car, distance traveled  Cost of pencils, number of pencils

 After figuring out our independent and dependent variables, we can write let statements.  Let statements say: “Let x be______” and “Let y be____”  This will help us write the equation that matches our word problems.  Example: ◦ Total cost of gas, number of gallons of gas  Let x be #of gallons of gas. Let y be total cost of gas.

 Perimeter of a square, length of a side  Number of slices of bread, total calories  Speed of car, distance traveled  Cost of pencils, number of pencils

 Sam is making a long distance phone call to his grandmother. The cost y (in dollars) of making a long distance phone call for x minutes is y=0.25x+2. How much would Sam pay if he was on the phone with his grandmother for 8 minutes? ◦ What is my independent and dependent variables? ◦ Write “let statements.” ◦ What is my slope? What does it mean? ◦ What is my y-intercept? ◦ How much would he pay for 8 minutes? Hi Sam!

 Miles and Javon own a cheese factory. They charge a flat fee of $50 for each shipment of cheese and $2 per wheel of cheese. How much money will they make if 34 wheels of cheese are bought? ◦ What is the independent variable? ◦ What is the dependent variable? ◦ Write “let statements.” ◦ Write an equation that models this problem.

 Emily and Christina have a gardening business. They charge $5.00 a visit and $2.00 an hour for their services. ◦ What is the independent variable? ◦ What is the dependent variable? ◦ Write an equation to show this scenario. ◦ How much would they make for a two hour visit? Let’s make some money ladies!

 Noah Francis and Brandon Starr own a sports store. At their store, it costs $7 per hour to rent rollerblades plus $10 for safety equipment. ◦ What is the independent variable? ◦ What is the dependent variable? ◦ Write an equation to model the scenario. ◦ Make a table to show the cost of renting the rollerblades up to 6 hours. Aren’t we cool, Elsa? Chyeaaa

 Andrea bought $209 worth of t-shirts. After a week, she decided that she didn’t like the shirts anymore and wanted to sell them for $9.50 each. ◦ Write an equation. ◦ Use your equation to find how much Gabby will make after selling 15 shirts. ◦ How many shirts does Gabby need to sell to get her money back? Why doesn’t Gabby want me anymore?

 y=x  Verify the coefficient of your independent variable.  Will it be a positive relationship or negative relationship?  Pick any school appropriate topic.  Write let statements for x and y.  Write your scenario.  Check to make sure it fits your equation.

 Create word problems for one of the following: ◦ y=x+2 ◦ y=2x+2 ◦ y=(1/2)x ◦ y=-x+1 ◦ y=3x+1