Lesson 15, Part C, Solving equations Theme: Risk Assessment Solving equations such as blood alcohol content (BAC) and proportional equations for resizing graphics is an important skill. Mathematical models are often constructed to represent real-life situations. Being able to use these equations fully includes being able to solve for unknown variables in the equation. Below are two scenarios for you to practice and enhance your equation-solving skills. With each problem, check that the answer is reasonable, given the context, and that you have included the correct units with your solution. Credit: Maridav/Shutterstock Objectives for the lesson You will understand that: O Many equations can be solved by following the basic rules of undoing and keeping the equation balanced. You will be able to: O Solve equations that require simplification before solving. O Solve for a variable in terms of other variables. Paula has two options for going to school. She can carpool with a friend or take the bus. 1) Her friend estimates that driving will cost 22 cents per mile for gas and 8.2 cents per mile for maintenance of the car. Additionally, there is a $25 parking fee per week at the college. If Paula carpools, she would pay half of these costs. The cost of the carpool can be modeled by the following equation, where C is the cost of carpooling per week and m is the total miles driven to school each week: C = (0.082m + 0.22m + 25) %3D Part A: Explain what each term in the equation represents. Part B: Find the total weekly carpooling cost if the commute to school is 7 miles each way and Paula goes to school three times a week. Part C: A weekly bus pass costs $22.00 dollars. How many total miles must Paula commute to school each week for the carpool cost to be equal to the bus pass? How many trips to school each week must Paula make for the bus pass to be less expensive than carpooling? Copyright © 2016, The Charles A. Dana Center at the University of Texas at Austin

Course Messages Gradebook Home > MT180 Summer 2024 > Assessment Assignment 2.3 Score: 8.67/13 9/13 answered Question 11 An eastbound train and a westbound train meet each other on parallel tracks heading in opposite directions. The eastbound train travels & miles per hour faster than the westbound train. After 2 hours, they are 260 miles apart. At what speeds are the two trains traveling? Write an equation using the information as it is given above that can be used to solve this problem. Use the variable r to represent the speed of the westbound train. Equation: The eastbound train is traveling The westbound train is traveling Question Help: Message instructor Calculator Submit Question mph. mph. útv 24 C NA

Equation of a line

help please

Shopping While shopping for clothes, Curtis spent $57 less than 3 times what Jaclyn spent. Curtis spent $12. Write and solve an equation to find how much Jaclyn spent. Let x represent how much Jaclyn spent. The equation that can be used to determine how much Jaclyn has spent is %3D 57 3 12 Click to select your answer(s) and then click Check Answer. 1 part Clear All Check Aner romainina Review progress Question 3 of 9 + Back Next> ere to search A G O E G hp