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Warm-up

Warm-up.

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Warm-up

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  1. Warm-up Exercise #3: Hachi was driving a car at a constant speed on the New York State Thruway. He noticed that after driving for 1 hour he had 12 gallons of gas left. Then, after driving for a total of 3 hours, he had 8 gallons of gas left. Assume in this problem that there is a linear relationship between the amount of gasoline left and the time Hachi has been driving. Express the information given in this problem as two ordered pairs, where the independent variable is time and the dependent variable is the gallons of gasoline left. (b) Calculate the slope of the line connecting these two points. Include units in your answer. (c) How long, after he started driving, will Hachi run out of gasoline, assuming the rate you calculated in part (b) does not change (is constant)?

  2. Objective: Review units thus far

  3. Functions • Find f(4, 0 and -½) for each function • f(x) = 2x • f(x) = -12 – 5x • f(x) = ¾x

  4. 4. Linear models • The Plaid Taxi Cab Company charges $1.75 per passenger plus $3.45 per mile for trips less than 10 miles. Write and evaluate a function to find the cost for Max to take a Plaid taxi 8 miles to the airport. • You are trying to lose weight. Every consecutive day you work out, you lose 2 pounds. What is a reasonable domain and range for this function? • The 49ers have $2M players left in their salary cap. For every player they sign before the trade deadline, they will use up $300,000 of their cap. Write a function representing this situation.

  5. Rate of Change • Maria is climbing a mountain. Maria's elevation, E(t) , in feet after t minutes is given by E(t) = 1200 + 40t. • Write a complete sentence describing Maria’s starting elevation and how it is changing over time.

  6. 1. Write the lines in slope-intercept form • y-intercept = 3 • Slope = 2/3 • y-intercept = -2 • Slope = 0 • y-intercept = -1/2 • Slope = 7 • y-intercept = 0 • Slope = -4 • y-intercept = 12 • Slope = -1

  7. 2. a) Identify the domain and range for each relation b) Identify if it is a function 5. 6.

  8. 3. Find the rate of change for each situation. Graph it, if needed.

  9. Homework • Review for the quiz!!

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