Question

question 9 1 pts adam is at an airport where the largest airplane weighs 3 × 10⁵ pounds, and the smallest airplane weighs 12,500 pounds. how many times heavier is the largest plane than the smallest plane? ☐ 24 times ☐ 41 times ☐ 2.4 times ☐ 0.04 times

Explanation:

Step1: Identify the weights

Largest plane weight: $3\times10^{5}$ pounds.
Smallest plane weight: $12500$ pounds (since $12,500 = 1.25\times10^{4}$).

Step2: Calculate the ratio

To find how many times heavier the largest is, divide:
$\frac{3\times10^{5}}{1.25\times10^{4}}$

Simplify exponents: $\frac{3}{1.25}\times10^{5 - 4} = 2.4\times10^{1} = 24$? Wait, no—wait, $3\times10^{5}=300000$, $12500 = 12500$.

Wait, $300000\div12500 = 24$? Wait, $12500\times24 = 300000$. Wait, no—wait, $3\times10^{5}=300000$, $12500 = 1.25\times10^{4}$.

$\frac{3\times10^{5}}{1.25\times10^{4}}=\frac{3}{1.25}\times10^{1}=2.4\times10 = 24$? Wait, no, $3\div1.25 = 2.4$, times $10^{1}$ (since $10^{5}/10^{4}=10^{1}$) is $24$. Wait, but let's check: $12500\times24 = 300000$. Yes, that's correct. Wait, but the options have 24 times. Wait, but maybe I miscalculated? Wait, $3\times10^{5}=300000$, $12500$: $300000\div12500 = 24$. So the answer is 24 times.

Wait, wait, no—wait, $12500\times24 = 300000$, yes. So the ratio is 24.

Answer:

24 times (the option with "24 times")