Mastering Functions: Real-World Applications in Pre-Calculus
School
Paint Branch High**We aren't endorsed by this school
Course
MATHEMATIC 117
Subject
Mathematics
Date
Dec 11, 2024
Pages
4
Uploaded by ChancellorNarwhalMaster1187
Unit 1 (Chapter 1): FunctionsPre-Calculus1.7 Modeling with Functions Target 1E: Model real world situations and use regressions with the use of functions Review of Prior Concepts 1.Write as a mathematical expression: five less than twice a number 2.A small company has $1000 to distribute to its employees as a bonus. Write a mathematical expression for how much money each employee will get.More Practice Writing Mathematical Expressions https://www.khanacademy.org/math/algebra-basics/core-algebra-expressions/core-algebra-variables-and-expressions/v/writing-expressions-1 http://www.learnnc.org/lp/media/uploads/2008/08/9writing_expressions.pdf https://www.youtube.com/watch?v=CfUvzKZgPJQ SAT Connection Heart of Algebra 1.Create, solve, or interpret a linear expression or equation in one variableExample: Solution Change English Statements into Mathematical Expression oWrite a mathematical expression for the quantity described verbally. (An expression has no equal sign, and, therefore, can NOT be solved.) Example 1:a)A number x decreased by six and then doubled. b) A salary after a 4.4% increase, if the original salary is x dollars.
Unit 1 (Chapter 1): FunctionsPre-CalculusWrite Equations to Model Given Situations oWrite an equation for each of the following statements. Example 2: a)One leg of a right triangle is three times as long as the other. Write the length of the hypotenuse as a function of the length of the shorter leg. b)The diameter of a right circular cylinder equals half its height. Write the volume of the cylinder as a function of its height. The volume of a right circular cylinder is given by 𝑉 = 𝜋𝑟2ℎ. Use Equations to Solve Percentage and Mixture Problems oFor each statement below, do the following: 1.Write an equation (be sure to define any variables used). 2.Solve the equation, and answer the question. Example 3: a)One positive number is twice another positive number. The sum of the two numbers is 390. Find the two numbers. b)Joe Pearlman received a 3.5% pay decrease. His salary after the decrease was $27,985. What was his salary before the decrease?
Unit 1 (Chapter 1): FunctionsPre-Calculusc)Jackie invests $25,000. She invests part of the money at 5.5% annual interest and the balance at 8.3% annual interest. How much is invested at each rate if Jackie receives a 1-year interest payment of $1571? d)The chemistry lab at the University of Ellannoy keeps two acid solutions on hand. One is 20% acid and the other is 35% acid. How much 20% acid solution and how much 35% acid solution should be used to prepare 25 liters of a 26% acid solution? More Practice Modeling with Functions http://cims.nyu.edu/~kiryl/Precalculus/Section_1.6-Modeling%20with%20Equations/Modeling%20with%20Equations.pdf https://socratic.org/precalculus/functions-defined-and-notation/modeling-with-functions Homework Assignment p.148 #5,6,15,16,18,19,33,37
Unit 1 (Chapter 1): FunctionsPre-CalculusSAT Connection Solution