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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 gym charges a $30 signup fee plus $40 per month. Which models the total cost T after m months?

    Answer: T = 30 + 40m

    The one-time $30 fee is constant and $40 is charged per month.

  2. A baker uses 2 eggs per cake. How many cakes can be made from 30 eggs?

    Answer: 15 cakes

    Divide 30 eggs by 2 eggs per cake to get 15 cakes.

  3. A driver's gas tank loses 1 gallon every 22 miles. Starting with 16 gallons, which models gallons left G after d miles?

    Answer: G = 16 - d/22

    Each mile uses 1/22 gallon, so fuel decreases by d/22 from the starting 16.

  4. A shirt is on sale for 30% off its $50 price. What is the sale price?

    Answer: $35

    A 30% discount removes $15 from $50, leaving $35.

  5. A ladder reaches 12 feet up a wall with its base 5 feet out. How long is the ladder?

    Answer: 13 feet

    By the Pythagorean theorem, the ladder is sqrt(12^2 + 5^2) = 13 feet.

  6. A water tank drains from 240 gallons at 8 gallons per minute. After how many minutes is it empty?

    Answer: 30 minutes

    Divide 240 gallons by 8 gallons per minute to get 30 minutes.

  7. A salesperson earns 6% commission on sales. To earn $300, how much must she sell?

    Answer: $5,000

    Solving 0.06s = 300 gives s = $5,000 in sales.