Question

approximately 102.4 million passengers passed through a certain airport. because of the coronavirus pandemic, only 42.1 million passengers passed through the same airport in 2020. express these quantities in passengers per hour.
12 conversions. which conversion factors should be used? select all that apply.
a. $\frac{365 \text{ days}}{1 \text{ yr}}$ b. $\frac{24 \text{ hr}}{1 \text{ day}}$ c. $\frac{1 \text{ day}}{24 \text{ hr}}$ d. $\frac{1 \text{ yr}}{365 \text{ days}}$
express the 102.4 million passengers that passed through the airport in 2019 using scientific notation.
102.4 million = $1.024\times10^{8}$ (type your answer in scientific notation, using the appropriate symbol from the math palette for any multiplication.)
use the chain of conversions to find the number of passengers per day in 2019.
$\frac{1.024\times10^{8} \text{ passengers}}{1 \text{ yr}}\times\frac{1 \text{ yr}}{365 \text{ days}}\times\frac{1 \text{ day}}{24 \text{ hr}}=\frac{square \text{ passengers}}{1 \text{ hr}}$ (round to the nearest whole number as needed.)

Explanation:

Step1: Identify the number of passengers in 2019

The number of passengers in 2019 is $1.024\times 10^{8}$.

Step2: Set up the conversion

We want to convert from passengers per year to passengers per hour. We use the conversion factors $\frac{1\ yr}{365\ days}$ and $\frac{1\ day}{24\ hr}$. The formula is $\text{Passengers per hour}=\frac{1.024\times 10^{8}\text{ passengers}}{1\ yr}\times\frac{1\ yr}{365\ days}\times\frac{1\ day}{24\ hr}$.

Step3: Calculate

First, $\frac{1.024\times 10^{8}}{365\times24}=\frac{1.024\times 10^{8}}{8760}$.
$1.024\times 10^{8}=102400000$, and $102400000\div8760\approx11689.5$.
Rounding to the nearest whole - number, we get 11690 passengers per hour.

Answer:

11690