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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 line passes through (0, 4) with slope 2. Which equation models it?

    Answer: y = 2x + 4

    Slope-intercept form gives y = 2x + 4 with slope 2 and y-intercept 4.

  2. A factory produces 144 widgets in 6 hours at a steady rate. How many does it make in 9 hours?

    Answer: 216 widgets

    The rate is 24 per hour, so 24 x 9 = 216 widgets.

  3. A rental costs $25 per day plus a flat $15 fee. A customer paid $115. How many days was the rental?

    Answer: 4 days

    Solving 25d + 15 = 115 gives 25d = 100, so d = 4 days.

  4. An investment of $1,000 grows 5% per year. Which models its value V after n years?

    Answer: V = 1000(1.05)^n

    Annual 5% growth multiplies by 1.05 each year, giving exponential growth.

  5. Two angles of a triangle measure 45 and 65 degrees. What is the third angle?

    Answer: 70 degrees

    Triangle angles sum to 180, so 180 − 45 − 65 = 70 degrees.

  6. A box holds 24 cans and a store has 9 full boxes plus 7 loose cans. How many cans total?

    Answer: 223 cans

    There are 9 x 24 = 216 cans in boxes plus 7 loose, for 223 total.

  7. A scatter plot shows cost rising steadily with quantity. Which model best fits the data?

    Answer: A linear model

    A steady, constant-rate increase is best described by a linear model.