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Two-Variable Data: Models and Scatterplots

SAT Math· difficulty 4/5

A radioactive substance loses 5% of its mass each day. Which model best fits its mass m(t)m(t) after tt days starting from 200g?

  • A

    m(t)=200(0.95)tm(t) = 200(0.95)^t

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  • B

    m(t)=200/tm(t) = 200/t

  • C

    m(t)=200−5tm(t) = 200 - 5t

  • D

    m(t)=200(1.05)tm(t) = 200(1.05)^t

Explanation

Losing 5% per day: m(t)=200(1−0.05)t=200(0.95)tm(t) = 200(1 - 0.05)^t = 200(0.95)^t.

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