9
QuizMultiple Choice

Graphing Parametric Equations

Question 9 • Precalculus

An animation shows a beetle crawling in a straight line from the point (0, 10) to the point (28, 84) in 2 seconds. Write a pair of parametric equations to model the path of the beetle. Which point represents the location of the beetle 5 seconds after starting?

Answer
A
(38, 94)
B
(70, 195)
C
(80, 185)
D
(184, 269)

Explanation

The beetle’s change in position over 2 seconds is (28 − 0, 84 − 10) = (28, 74), so its velocity is (14, 37) units per second. Starting at (0, 10), a parametric model is x = 14t and y = 10 + 37t, where t is time in seconds. At t = 5, the location is (70, 195), which is choice B.

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