1. Assume that you do not know how many people from your contact list will call you this week. Let's call this number z.
a. What would this z be called in mathematics? A variable
b. If you know that on the week of your birthday you will get 2.3 times the number of calls as normal, write an expression that writes this in terms of z.
2.3z=x
c. If z is the number of calls you got in module 1, calculate the number of calls you will get during your birthday week. Assume you got 10 calls in module 1. Z = 1
2. Assume that every week after the week you counted your number of contacts you add another person to the list. Assuming 150 contacts.
a. Write an equation that will tell you how many people will be on your list in x number of weeks.
b. Figure out how many people will be on your list in 12 weeks.
c. Figure out how many weeks it will take to have 200 people on your list.
3. Draw a coordinate system. On the x-axis place time measured in number of weeks, and on the y-axis the number of people in your contact list.
a. Assume week 1 is the week when you originally counted the number of contacts. Draw a point on the coordinate system that corresponds to the number of contacts at week 1.
b. Draw another point that corresponds to the number of people you calculated would be on your list in 12 weeks.
c. Draw a line that represents the equation you wrote in 2.a. Does this line go through the 2 points you drew in part 3 a and b? Why or why not?

Solution Summary

This solution provides step-by-step instructions for determining and graphing linear equations from word problems in 537 words.

1. Determine which of the following are linearequations and which are not linearequations. State the reason for your answer.
(a) x + y = 1000
(b) 3xy + 2y + 15z - 20 = 0
(c) 2xy + 4yz = 8
(d) 2x + 3y 4z = 6.

Jill, Karen, and Betsy studied a total of 93 hours last week. Jill's and Karen's study time totaled only one-half as much as Betsy's. If Jill studied 3 hours more than Karen, then how many hours did each one of the girls spend studying?

1. The perimeter of a rectangle is 60m. The length is 9m more than twice the width. Find the dimensions
2. Soybean meal is 16% protein; cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320lb mixture that is 11% protein?
How many pounds of the cornmeal should be in the mixture?
How

Can you please assist me with the following problems.
*Give examples (either a graph or the system of equations) of the 3 types of solutions to a system of linearequations - one solution, no solution, infinitely many solutions.
*Why do absolute value equations usually have 2 solutions?

1. Graph this equation.
y = 3/2x +1
2. Determine whether each pair of equations represents parallel lines.
y = -5/4 +1,
y = 5/4x +3
4. Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.
x + 8y = 8
9x - 5y = -5

Please see the attached files for the fully formatted problems.
1. Given the equation below, find f(x) where y = f(x).
8y(6x - 7) - 12x(4y + 3) + 265 - 5(3x - y + 2) = 0.
2. Solve these linearequations for x, y, and z.
3x + 5y - 2z = 20; 4x - 10y -z = -25; x + y -z = 5
3. The value of y in Question 2 lies in the ran

The techniques for solving linearequations and linear inequalities are similar, yet different. Explain and give an example of both a linear equation and a linear inequality that demonstrates this difference.
1.) Solve and check the linear equation.
5x - 5 = 30
A) {30}
B) {34}
C) {11}
D) {7}
2.) Solve and check th

Need assistance on problemsProblems needing assistance
1. What is the solution of the system? Type an ordered pair
5x+3y= -11
7x-2y= 17
2. Hockey team receives 2 points when they win and 1 point when they tie. One season, a team won a championship with 60 points. They won 12 more games than they tied. How many wins and h

1) For the equations, you are learning several methods of finding the solution to a system. Is there a difference in the result you get using an algebraic method and what you get using a graphical method? Why or why not? How does the graph of two linearequations relate to the number of solutions to the system? How could you

. After 2 minutes on a treadmill, Jenny has a heart rate of 82. After 3 minutes she has a heart rate of 86. Assume that there is a linear equation that gives her heart rate h in terms of time on the treadmill t. Find the equation and use it to predict her heart rate after 10 minutes on the treadmill.