This week we examine how to solve for an unknown quantity. Some situations may be easily modeled by single variable equations and others might be more difficult. Reflect on your professional or personal world. What is an example of a situation that you might be able to use an equation with a single unknown to help understand? What is an example of a situation that you might not be able to use an equation with a single unknown to understand? What makes an equation with a single unknown helpful in one of your examples but not the other? What patterns exist in your two examples that might be helpful in determining when to use a simple equation?

Q: You and a friend plan to meet in San Francisco for a Giants game. The ballpark is 49 miles from your…

A: My speed is 50mph  and I have to cover 49 miles.Answer: It will take 58 minutes 48 seconds for me.

Q: here is translating company. For first page it will cost 50 dollar for next pages it will be 25…

A: we need to write down the equation for the given situation.

Q: How many gallons of 30% alcohol and 60% alcohol are needed to obtain a 20-gallon mixture which is…

A: Let x be the number of gallons of 30% alcohol. So, (20-x) will be the number of gallons of 60%…

Q: At the end of the day, Aaron has a pocketful of change. A total of 19 coins are in his pocket,…

A: The solution is shown in step-2

Q: As part of a project we made two trips to a local lake. The first day we caught 325 fish and tagged…

A:

Q: In 2010, the population of Appleville was 24000, and by 2020 the population had grown to 30500. The…

A: Let t and y be the number of ywars after 2010 and population in year t respectively. Let y(t)=mt+c…

Q: A fast food company knows that the sales results of its products are closely related to the average…

A: Given, the sales results of products are closely related to the average income level of the…

Q: PLEASE ANSWER THE TWO QUESTION 1. Regil is twice times as old as Ellen. Five years ago, Regil’s age…

A:

Q: Suppose you are going on a trip and need to choose between two car rental companies. Company 1…

A: topic - linear function

Q: I DON'T UNDERSTAND THE BREAKDOWN FROM THE BEGINNING. IS THERE ANYWAY YOU CAN SHOW ME WITH ARROWS…

A:

Q: A company has a total of $25600 to spend on the development and promotion of a new product. The…

A: Given,            A company has a total of $25600 to spend on the development and promotion of a new…

Q: 20. KUDZU- THE VINE Kudzu is a southern weed that is migrating northward. Research indicates that…

A:

Q: What is an inconsistent equation? Give an example.

A: Inconsistent equation:            If a system has no solution, it is said to be inconsistent

Q: One particular game sells for $60 and there is a monthly fee of $8 for playing the game with other…

A: The followings are interpreted from the provided information: The selling price of the game is $60.…

Q: Two workers, Ava and Bob, working 9 hours made 243 parts. Ava makes 13 parts in 1 hour. a. Write two…

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Q: 2. The municipality of Charlesburg records an average daily water consumption of 998 L per household…

A: The given line for best fit is: C=-0.358n+996. Where, C is the "average consumption per household"…

Q: The number of players leaving the league can be calculated by starting with the quantity of four…

A: The objective of the question is representation to equation of the given situation.

Q: Four times a number added to 3 times a larger number is 31. Seven subtracted from the larger number…

A: x = smaller number y = larger number

Q: My question is: Sara receives a $5 allowance every week. Sara’s mother gives Sara an additional $2…

A: Let n equal the number of loads of laundry Sarah does and let m equal the amount of money Sarah…

Q: Alan drives an average of 100 miles each week. His car can travel an average of 25 miles per gallon…

A:

Q: Tim leaves his South Bend home to go to Nashville, TN, for work. Nashville is430 miles away from…

A: Let, his initial speed = x miles per hour He drove for 2 hours at the speed= x mph So distance…

Q: You invested $7000 in two accounts paying 6% and 8% annual interest. If the total interest earned…

A:

Q: For this project you will use what you have learned about exponential functions to study what…

A: Given : Three Algebra students are comparing speeds of their social media posts.   To solve : The…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.