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Math Modeling and Application Flashcards

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

Read the first 7 Math Modeling and Application flashcards as text

  1. A phone plan charges $20 per month plus $0.10 per text. Which equation models the monthly cost C for t texts?

    Answer: C = 20 + 0.10t

    The fixed $20 is constant and $0.10 multiplies the number of texts t.

  2. A car travels at a steady 55 miles per hour. How far does it go in 3.5 hours?

    Answer: 192.5 miles

    Distance equals rate times time, so 55 x 3.5 = 192.5 miles.

  3. A recipe for 4 servings uses 3 cups of flour. How much flour is needed for 10 servings?

    Answer: 7.5 cups

    Set up the proportion 3/4 = x/10, giving x = 7.5 cups.

  4. A pool fills at 12 gallons per minute and already holds 50 gallons. Which models total gallons G after m minutes?

    Answer: G = 50 + 12m

    The starting 50 gallons is constant and 12 gallons are added each minute.

  5. A store marks up an item costing $40 by 25%. What is the selling price?

    Answer: $50

    A 25% markup adds $10 to the $40 cost, giving $50.

  6. A function gives the height of a ball as h = -16t^2 + 32t. At what time does the ball return to the ground?

    Answer: t = 2 seconds

    Setting h = 0 gives t(−16t + 32) = 0, so t = 0 or t = 2 seconds.

  7. A worker earns $15 per hour plus a $50 bonus. If she earned $215, how many hours did she work?

    Answer: 11 hours

    Solving 15h + 50 = 215 gives 15h = 165, so h = 11 hours.