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Write inequalities to represent the situations below. To qualify for the champlonship, a runner must complete the race In less than 40 minutes. Use t to represent the time (in minutes) of a runner who qualifies for the championship. OSO The cargo of the truck welghs no more than 3,000 pounds. Use w to represent the weight (in pounds) of the cargo.

Write inequalities to represent the situations below. To qualify for the champlonship, a runner must complete the race In less than 40 minutes. Use t to represent the time (in minutes) of a runner who qualifies for the championship. OSO The cargo of the truck welghs no more than 3,000 pounds. Use w to represent the weight (in pounds) of the cargo.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Writing an Inequality for a Real-World Situation** **Write inequalities to represent the situations below.** 1. **To qualify for the championship, a runner must complete the race in less than 40 minutes.** Use \( t \) to represent the time (in minutes) of a runner who qualifies for the championship. - **Inequality:** \( t < 40 \) 2. **The cargo of the truck weighs no more than 3,000 pounds.** Use \( w \) to represent the weight (in pounds) of the cargo. - **Inequality:** \( w \leq 3000 \) **Graphical Explanation:** - Next to the descriptions of the inequalities, there are buttons and a box where you can input the inequality symbols (like <, ≤, >, ≥) to construct the appropriate inequalities. **Buttons Box:** - Four inequality symbols: \( < \), \( \leq \), \( > \), \( \geq \) are available. - Depending on the scenario, the user can click the appropriate symbols to form the inequalities. - The box allows the user to check or validate their answers by providing input options for inequalities. **Functions at the Bottom:** - **Explanation:** Provides further explanation or information regarding the inequality problem. - **Check:** Allows the user to check if the inequality they have written matches the given conditions. This instructional content helps students understand how to translate real-life situations into mathematical inequalities and provides them with a tool to verify their solutions.
Transcribed Image Text:**Writing an Inequality for a Real-World Situation** **Write inequalities to represent the situations below.** 1. **To qualify for the championship, a runner must complete the race in less than 40 minutes.** Use \( t \) to represent the time (in minutes) of a runner who qualifies for the championship. - **Inequality:** \( t < 40 \) 2. **The cargo of the truck weighs no more than 3,000 pounds.** Use \( w \) to represent the weight (in pounds) of the cargo. - **Inequality:** \( w \leq 3000 \) **Graphical Explanation:** - Next to the descriptions of the inequalities, there are buttons and a box where you can input the inequality symbols (like <, ≤, >, ≥) to construct the appropriate inequalities. **Buttons Box:** - Four inequality symbols: \( < \), \( \leq \), \( > \), \( \geq \) are available. - Depending on the scenario, the user can click the appropriate symbols to form the inequalities. - The box allows the user to check or validate their answers by providing input options for inequalities. **Functions at the Bottom:** - **Explanation:** Provides further explanation or information regarding the inequality problem. - **Check:** Allows the user to check if the inequality they have written matches the given conditions. This instructional content helps students understand how to translate real-life situations into mathematical inequalities and provides them with a tool to verify their solutions.
--- ### Introduction to Compound Interest #### Linear Equations Suppose that a loan of $3000 is given at an interest rate of 18% compounded each year. Assume that no payments are made on the loan. Follow the instructions below. Do not do any rounding. **(a) Find the amount owed at the end of 1 year.** \[ \$ \_\_\_\_ \] **(b) Find the amount owed at the end of 2 years.** \[ \$ \_\_\_\_ \] --- There are no graphs or diagrams in the image to describe. The page focuses on explaining compound interest with given parameters for an educational exercise.
Transcribed Image Text:--- ### Introduction to Compound Interest #### Linear Equations Suppose that a loan of $3000 is given at an interest rate of 18% compounded each year. Assume that no payments are made on the loan. Follow the instructions below. Do not do any rounding. **(a) Find the amount owed at the end of 1 year.** \[ \$ \_\_\_\_ \] **(b) Find the amount owed at the end of 2 years.** \[ \$ \_\_\_\_ \] --- There are no graphs or diagrams in the image to describe. The page focuses on explaining compound interest with given parameters for an educational exercise.
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