Duplicate Question
The question on this page has been marked as a duplicate question.
Original 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 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 the 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(24)x
m is equal to 0 point 0 2 times 24 to the x th power
m=24(1.02)x
m is equal to 24 times 1 point 0 2 to the x th power
m=(0.02)x
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)
Responses
m=1.02(24)x
m is equal to 1 point 0 2 times 24 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
m is equal to 24 times 1 point 0 2 to the x th power
m=(0.02)x
Answers
GPT-4o mini
The equation that best models the number of minutes, \( m \), that it takes Charles to get to work, given that it has been increasing by approximately 2% per year since 2012, is:
\[ m = 24(1.02)^x \]
This equation represents the initial value of 24 minutes (the time it took him in 2012) multiplied by the growth factor \( 1.02 \) raised to the power of \( x \) (the number of years since 2012).
So the correct choice is:
**m = 24(1.02)^x**
\[ m = 24(1.02)^x \]
This equation represents the initial value of 24 minutes (the time it took him in 2012) multiplied by the growth factor \( 1.02 \) raised to the power of \( x \) (the number of years since 2012).
So the correct choice is:
**m = 24(1.02)^x**