Linear Equations

Linear Equations

Learning Target

• I can learn properties of linear equations.

Mr. Trash Wheel!!

Mr. Trash Wheel

• Has collected about 1,500 tons of debris

• Has been operational for about 7 years

• Approximately how much debris does Mr. Trash Wheel collect each year?

What can this information be used for?

Let's take some notes!

Linear Equation

•  $y=mx+b$ 

•  $m=slope$  

• x: independent variable

• y: dependent variable

• b: y-intercept

Vendor Market

• Participating as a vendor costs me $150.

• The fee goes to the organizer and I am able to sell my artwork & apparel.

• I need to sell at least $150 worth of merchandise to make a profit.

LoveBear Tee

• Fun Fact: I drew this picture in high school.

• I earn $25 for each shirt sold.

• How many shirts do I need to sell to make a profit?

Linear Equation

•  $y=mx+b$  

•  $m=slope\ \left(rate\right)$  

•  $y=25x+b$  

• In this situation, y= profit & x= number of shirts sold

•  $150=25x$  

•  $\frac{150}{25}=\frac{25x}{25}$  

•  $6=x$