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Compare linear and exponential growth
Grade Level
SAT Prep
M175 Compare linear and exponential growth
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For a tournament audience, L(t) = 500 + 40t models viewers after t years. Another model starts at 300 and is multiplied by 1.21 every 2 years. Which statement correctly compares the long-term growth?
A
The exponential model grows faster long term; its equivalent yearly multiplier is about 1.100, which is greater than 1.
B
The exponential model cannot be compared to L(t) because its multiplier is not given for exactly one year.
C
The models grow at the same long-term rate because 1.21 is applied only every 2 years.
D
The linear model grows faster long term because it adds 40 every year.
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