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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 app...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 that number of minutes, m, that it takes him to get to work if x represents the number of years since 2012?(1 point)
Responses
m=1.02(24)x
m is equal to 1 point 0 2 times 24 to the x th power
m=(0.02)x
m is equal to 0 point 0 2 to the x th power
m=0.02(24)x
m is equal to 0 point 0 2 times 24 to the x th power
m=24(1.02)x
Which equation best models that number of minutes, m, that it takes him to get to work if x represents the number of years since 2012?(1 point)
Responses
m=1.02(24)x
m is equal to 1 point 0 2 times 24 to the x th power
m=(0.02)x
m is equal to 0 point 0 2 to the x th power
m=0.02(24)x
m is equal to 0 point 0 2 times 24 to the x th power
m=24(1.02)x
Answers
GPT-4o mini
The correct equation that models the number of minutes, \( m \), it takes Charles to get to work, where \( x \) represents the number of years since 2012, is:
\[ m = 24(1.02)^x \]
This equation indicates that the average time it takes him to get to work starts at 24 minutes in 2012 and increases by 2% each year, which is represented by multiplying by \( 1.02 \) raised to the power of \( x \).
\[ m = 24(1.02)^x \]
This equation indicates that the average time it takes him to get to work starts at 24 minutes in 2012 and increases by 2% each year, which is represented by multiplying by \( 1.02 \) raised to the power of \( x \).