Problem of the Day A marching band has 72 members. What rectangular formations are possible if each row and each column must have at least 6 members?

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Presentation transcript:

Problem of the Day A marching band has 72 members. What rectangular formations are possible if each row and each column must have at least 6 members?

Interpreting Linear Functions Chapter 2 Section 2.3

Interpreting Linear Functions Thus far, you have written linear equations using slope-intercept form. You should also be able to find the equation of a line given two points on the line.

Interpreting Linear Functions Example 1 A candle is 6 in. tall after burning for 1 hour. After 3 hours, it is 5 1 / 2 in. tall. Write an equation to model the height y of the candle at time x.

Interpreting Linear Functions 1.In Example 1, what does the slope - 1 / 4 represent? What does the value of 6 1 / 4 represent? 2.Using the information from Example 1, predict when the candle will be 4 in. tall. Explain how you made your prediction. 3.For Example 1, what are realistic values for the domain and range?

Interpreting Linear Functions 4.Write the equation of each line. a. Pass through the points (-1, 3) and (3, -5). b. Contains the point (2, 5) and has a y-intercept of -1

Interpreting Linear Functions The standard form of an equation of a line is ax + by = c where a, b, and c are integers. Notice that x and y are on the same side of the equal sign. 5. a. Rewrite the equation from Example 1 in standard form. b. List the steps you used for part (a) in order.

Interpreting Linear Functions 6.Write each linear equation in standard form. a. y = 2x + 7b. -4y + x = -12 c. x = 0

Interpreting Linear Functions Example 2 In 1997, Lalia considered buying a 1991 car with an asking price of $1400. She researched prices for various years of the same model and recorded the data in the table on page 70. a.Graph the data. Decide if a linear model is reasonable. b.Determine a fair price for the car. Is the asking price reasonable?

Interpreting Linear Functions 7.Do you think you could use this model to predict the price of a 9-year-old care today? Explain. 8.Under what conditions would the asking price of the car differ greatly from the price the model predicts?

Assignment Pgs (1-45 odd)