Digital SAT Math Practice Question #864
Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.
Rewrite the exponent to isolate time increments of 6: notice that \( \frac{t}{12} = \left(\frac{t}{6}\right) \cdot \frac{6}{12} \). Apply exponent power rules: \( b^{mn} = (b^m)^n \).
Desmos Shortcut: In Desmos, define \( P(t) = 1200(2.56)^{t/12} \). Then simply calculate \( \frac{P(6) - P(0)}{P(0)} \cdot 100 \). Desmos gives the exact percentage instantly!
To determine the growth rate every 6 hours, evaluate the factor by which the population multiplies when \( t \) increases by 6: \[ \text{Growth Multiplier} = (2.56)^{\frac{6}{12}} = (2.56)^{\frac{1}{2}} = \sqrt{2.56} = 1.60 \] A multiplier ...
Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...
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