Graph to Solve a System of Equations OCTOBER 15, 2015 MS. STACK

10/15 Do Now 1.Find the mean, median, and mode of the data set: 10, 28, 14, 46, 2, 30, 2, 15 2.TJ has an afterschool tutoring job. He makes $8.50 an hour. He never works more than 10 hours in a week. The equation f(x)= 8.5x can be used to model this situation, where x represents the number of hours TJ works in a week. Find the domain of the function. 3.Write an equation for the line that is perpendicular to y=-2x + 7 and has a y-intercept of Find the perimeter of a square with a side length of 2x + 5.

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How many solutions are there? A. B. C.

If 2 lines intersect, where is the solution? Write the solution to the system of equations:

Explore Is (4, 0) a solution of the system of equations? 2x + y = 8 -x + 3y = 4

How to Find A Solution to a System on Your Calculator Graph on your calculator: Y= 2x – 8 Y= -6x + 4 Steps to Finding the Intersection on Your Calculator: 1.

Graphing By Hand

In-Class Activity *Let’s apply the idea of system equations to real-world word problems *We will start with the top problem and I will model what I want you to do for the next problem

Systems of Equations: Word Problems An exam worth 145 points contains 50 questions. Some of the questions are worth two points and some are worth five points. How many two point questions are on the test? How many five point questions are on the test? Write a linear system of equations that can be used to solve this problem.

Practice Problem #1 The cost of admission to a popular music concert was $162 for 12 children and 3 adults. The admission was $122 for 8 children and 3 adults in another music concert. How much was the admission for each child and adult? Write a linear system of equations that can be used to solve this problem.

Practice Problem #2 At an ice cream parlor, ice cream cones cost $1.10 and sundaes cost $2.35. One day, the receipts for a total of 172 cones and sundaes was $ How many cones were sold? Write a linear system of equations that can be used to solve this problem

Exit Ticket 1.Write a system of equations for the following word problem: At Dunkin Donuts a donut cost $0.89 and a coffee costs $1.75. Yesterday, they sold 2000 coffees and donuts and the total receipt was $ Find the solution to the system by graphing (on your calculator): y= 3x – 8 y= -½ x +3 3.What does the line y=4 look like? Draw a quick sketch on your paper. 4.The population growth of coyotes in Indianapolis can be represented by the following function: 1050*3 x. How many coyotes will there be in 7 years?