Question

Charles tracked the average amount of time that it takes for him to get to work and he found that it has been increasing by approximately 2% per year over the past several years. When he started tracking this in the year 2012, it took him an average of 24 minutes to get to work.

Which equation best models the number of minutes, m, that it takes him to get to work if x represents the number of years since 2012?(1 point)

m=1.02(24)x


m=(0.02)x


m=24(1.02)x


m=0.02(24)x

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Answer 1

m = 24(1.02)^x

Explanation: exponential growth with initial value 24 and growth rate 2% per year gives m = 24(1 + 0.02)^x = 24(1.02)^x.