Digital SAT Math Practice Question #862
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 4: notice that \( \frac{t}{8} = \left(\frac{t}{4}\right) \cdot \frac{4}{8} \). Apply exponent power rules: \( b^{mn} = (b^m)^n \).
Desmos Shortcut: In Desmos, define \( P(t) = 100(1.96)^{t/8} \). Then simply calculate \( \frac{P(4) - P(0)}{P(0)} \cdot 100 \). Desmos gives the exact percentage instantly!
To determine the growth rate every 4 hours, evaluate the factor by which the population multiplies when \( t \) increases by 4: \[ \text{Growth Multiplier} = (1.96)^{\frac{4}{8}} = (1.96)^{\frac{1}{2}} = \sqrt{1.96} = 1.40 \] A multiplier o...
Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...
Unlock Full Solution & 2,600+ Official Drills
Access detailed Socratic steps, trap breakdowns, authentic timed module simulations, and Desmos speed hacks for just $9.99/mo.
An invasive plant species covers an area modeled by $A(w) = 15(1.20)^w$ square meters after $w$ weeks. What is the weekl...
A polynomial $q(x)$ satisfies $q(4) = -7$. What is the remainder when $q(x)$ is divided by $(x - 4)$?...
If $\tan \theta = \frac{7}{24}$ for acute angle $\theta$, what is the value of $\cos \theta$?...
A quadratic curve $y = ax^2 + bx + c$ has line of symmetry $x = -3$. If one root is $x = 1$, what is the other root?...