Digital SAT Math Practice Question #845
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 2: notice that \( \frac{t}{4} = \left(\frac{t}{2}\right) \cdot \frac{2}{4} \). Apply exponent power rules: \( b^{mn} = (b^m)^n \).
Desmos Shortcut: In Desmos, define \( P(t) = 250(1.44)^{t/4} \). Then simply calculate \( \frac{P(2) - P(0)}{P(0)} \cdot 100 \). Desmos gives the exact percentage instantly!
To determine the growth rate every 2 hours, evaluate the factor by which the population multiplies when \( t \) increases by 2: \[ \text{Growth Multiplier} = (1.44)^{\frac{2}{4}} = (1.44)^{\frac{1}{2}} = \sqrt{1.44} = 1.20 \] A multiplier o...
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