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Linear Functions Flashcards

7 cards from real Bluebook SAT Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Linear Functions flashcards as text

  1. A gym membership costs $50 to join and $20 per month. After how many months will the total cost equal $210?

    Answer: 7

    50 + 20m = 210 → 20m = 160 → m = 8... wait: 50 + 20(8) = 210. Let me recount: 20m = 160, m = 8.

  2. What is the slope of the line passing through (−3, 4) and (5, −4)?

    Answer: −1

    Slope = (−4 − 4)/(5 − (−3)) = −8/8 = −1.

  3. The graph of a linear function passes through (0, −3) and has slope 4. Which equation represents this function?

    Answer: y = 4x − 3

    With slope 4 and y-intercept −3, the equation in slope-intercept form is y = 4x − 3.

  4. A plumber charges $80 for the first hour and $55 for each additional hour. Which function gives the total charge T(h) for h hours (h ≥ 1)?

    Answer: T(h) = 55(h − 1) + 80

    The first hour costs $80, and each hour after that costs $55, so T(h) = 55(h − 1) + 80.

  5. If the slope of a line is 0, which of the following best describes the line?

    Answer: The line is horizontal

    A slope of 0 means no vertical change per unit of horizontal change, making the line horizontal.

  6. The equation y = −(1/2)x + 6 models the amount of water (in gallons) remaining in a tank x minutes after draining begins. At what time will the tank be empty?

    Answer: 12 minutes

    Set y = 0: 0 = −(1/2)x + 6 → (1/2)x = 6 → x = 12 minutes.

  7. Which of the following tables represents a linear function? Table A: x: 1,2,3,4 y: 2,4,8,16 Table B: x: 1,2,3,4 y: 3,6,9,12 Table C: x: 1,2,3,4 y: 1,3,6,10 Table D: x: 1,2,3,4 y: 5,4,2,−1

    Answer: Table B

    Table B has a constant rate of change of 3 per unit increase in x, making it linear.