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Chapter 6: Problem 8

Write as a unit rate. \(13,516\) passengers on 62 flights

Short Answer

Expert verified
218 passengers per flight

Step by step solution

01

Understand the problem

We need to find the number of passengers per flight, which means dividing the total number of passengers by the total number of flights.
02

Set up the division

We will divide the total number of passengers (13,516) by the total number of flights (62).
03

Perform the division

Calculate \(\frac{13516}{62}\).
04

Simplify the result

Perform the division to find the unit rate. \(\frac{13516}{62} \approx 218\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Division
Division is the mathematical process of distributing a number (the dividend) into equal parts (the divisor). In our example, we need to distribute 13,516 passengers (total number) equally across 62 flights (total flights).
This process is essential to find out how many passengers are on each flight.
In general, division is represented as: \( \frac{dividend}{divisor} \) or simply: dividend 梅 divisor.
Performing the division helps us understand the problem and set up the mathematical equation needed to find our solution.
Unit Rate
A unit rate compares a quantity to one unit of a different quantity. In our case, it is passengers per flight.
The unit rate provides insight into how each unit operates within the given total. For instance, when we have a unit rate of 218 passengers per flight, we understand simply how crowded each flight is on average.
Other common unit rates involve measurements like miles per hour or price per item.
Calculating unit rates simplifies larger sets of data into more meaningful, digestible numbers.
Simplification
Simplification helps reduce complex fractions or numbers to their simplest form for easier understanding.
In this exercise, once we perform the division \( \frac{13516}{62} \), we simplify the result to get approximately 218.
It's important to note that sometimes there won't be a perfect whole number, and you may end up with a decimal.
Simplification makes it clearer how each part of a problem relates to another, ensuring that the outcomes are easy to interpret and apply in practical scenarios.

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Most popular questions from this chapter

Determine whether the pairs of numbers are proportional. Are the numbers 48 and 18 proportional to the numbers 24 and \(9 ?\)

Solve the proportion. $$\frac{p}{9}=\frac{1}{6}$$

Solve the proportion. Be sure to check your answers. $$\frac{16}{12}=\frac{21}{a}$$

Are the numbers \(1 \frac{2}{3}\) and \(\frac{5}{6}\) proportional to the numbers 5 and \(2 \frac{1}{2} ?\)

Write a proportion for each statement. Then solve for the variable. 9 is to 12 as \(w\) is to 30
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