Digital SAT Math Practice Question #865
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Rewrite the exponent to isolate time increments of 1: notice that \( \frac{t}{2} = \left(\frac{t}{1}\right) \cdot \frac{1}{2} \). Apply exponent power rules: \( b^{mn} = (b^m)^n \).
Desmos Shortcut: In Desmos, define \( P(t) = 400(1.21)^{t/2} \). Then simply calculate \( \frac{P(1) - P(0)}{P(0)} \cdot 100 \). Desmos gives the exact percentage instantly!
To determine the growth rate every 1 hours, evaluate the factor by which the population multiplies when \( t \) increases by 1: \[ \text{Growth Multiplier} = (1.21)^{\frac{1}{2}} = (1.21)^{\frac{1}{2}} = \sqrt{1.21} = 1.10 \] A multiplier o...
Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...
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