In Lesson 3-1, we used the equation C = 5.1 + 2.6m to model the cost of a cab ride (C) in terms of miles traveled (m). 1. What does the inequality 5.1 + 2.6m < 20 represent in this scenario? 2. Solve the inequality and graph the solution on a number line.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
![**Lesson 3-4: Applications**
---
**3-4 Applications**
Name: _______________
---
Much of this assignment follows up on the work we did in the Applications for Lesson 3-3. In that lesson, we were solving equations to learn more about situations we had previously modeled. In this lesson, we’ll use inequalities to learn a bit more about those situations.
In Lesson 3-1, we used the equation \( C = 5.1 + 2.6m \) to model the cost of a cab ride (\( C \)) in terms of miles traveled (\( m \)).
1. What does the inequality \( 5.1 + 2.6m \leq 20 \) represent in this scenario?
2. Solve the inequality and graph the solution on a number line.
---
*Below is a blank number line intended for graphing the solution.*
---
[Graph Description: It consists of a horizontal line with arrows on both ends, indicating that it extends infinitely in both directions. This number line is intended for plotting the solution to the inequality.]*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad0eeee1-72c6-41f4-ba82-4dd126cc700b%2F63a5061d-2305-4710-af76-9b252b83791f%2F2olowvl_processed.jpeg&w=3840&q=75)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
