1. Linear Functions I can determine if a graph, table or equation is a linear function. I can find the equation of a linear function. I can interpret the values in a linear function.

2. Linear Functions

3. Modeling with linear functions. Example: Suppose the operating costs of the cafeteria are $3000 for one day. If everyone’s lunch is $2.65, how many lunches have to be purchased for the cafeteria to break even? f(x) = -3,000 + 2.65x 0 = -3,000 + 2.65x 3,000 = 2.65x x = 1,133 lunches to break even

4. Your Turn Take a couple minutes to come up with your own scenario that models a linear function. Use y=mx+b as your model. And describe your model Once written down, exchange with a neighbor Have your neighbor: State whether the rate of change is constant. State whether the slope-intercept (b) value makes sense.

5. Let t be the number of years since 1970. Suppose the population was 23,000 people in 1982 and 21,000 in 1986. Assuming the population has been declining at a constant rate since 1970. a.Find the formula for population as a function of t. a.When will the population be zero people?

6. To determine if a function is linear… View it graphically Look at it algebraically (equation) Numerically as a table and check for constant rate of change.