Linear Functions Unit Portfolio QUESTIONS AND ANSWERS

Cab companies often charge a flat fee for picking someone up and then charge an additional fee per mile driven. Pick a U.S. city and research the rates of two different cab companies in that city. Find companies that charge different amounts per mile and have different flat fees. If you have trouble finding this information for two companies, you can make up what you think would be reasonable prices for a cab's flat rate and a cab's rate per mile. Task 1 a. For the first company, express in words the amount the cab company charges per ride and per mile. $3.25 per ride and $1.50 per extra 1/9 mile. b. Write an equation in slope-intercept, point-slope, or standard form. Explain why you chose the form you did. Slope Intercept Form y = mx + b Ex. y = 5x + 65 Point – Slope Form Ex. Standard Form Ax + By = C where A, B, and C are real numbers, and A and B are not both zero. Ex. 3x + 4y = 24 Your equation y=13.50x+3.25 Why did you choose this equation? I used slope intercept because I knew the Slope and the y intercept of the line. c. What do the slope and y-intercept mean in the context of this problem? Hint: What do you pay when you step into the cab? The slope in the equation above means the amount of money you pay per mile. The y intercept represents the flat rate or amount of money charged as soon as you get in the cab. TASK 2 For the second company, express in a table the cost of the cab ride given the number of miles provided. Number of Miles 0 1 2 3 4 5 Total Cost (dollars) $4.15 $15.75 $31.50 $47.25 $63.00 $78.75