# Problem Solving with Linear Graphs

Introduction: Problem solving with linear graphs is a fundamental concept in mathematics that plays a crucial role in various fields such as engineering, economics, and physics. Linear graphs offer a visual representation of relationships between variables that can be used to analyze and solve real-world problems. By understanding how to interpret and manipulate linear graphs, individuals can effectively model and address a wide range of practical challenges. In this introduction, we will explore the principles of problem solving with linear graphs, highlighting their importance and applicability in diverse contexts.

Questions

- How do you create linear equations to solve word problems?
- How do you translate the following word problem into an algebraic equation: A cell phone company is offering its custumers the following deal. You can buy a new cell phone for $60 and pay a monthly flat rate of $40 per month for unlimited calls. How much money will this deal cost you after 9 months?
- What is the tip for a $21.50 meal if the tip for a $78.00 restaurant bill is $9.20?
- What are examples of using graphs to help solve word problems?
- How do you use linear graphs to problem solve?
- How much will a membership cost a member by the end of one year if customers can sign up by paying a registration fee of $200 and a monthly fee of $39?
- How do you solve #2+ 2k > - 10#?
- Where do the lines #3x+5y=78# and #2x-y=0# intersect?
- How do you know you need to create a linear equation solve a word problem?
- What was the original length of the candle if a candle is burning at a linear rate and the candle measures five inches two minutes after it was lit and it measures three inches eight minutes after it was lit?
- The perimeter of a triangle is 60 cm. it's height is 17.3. what is its area?
- How do you divide? #(x^3 + y^3) div(x-y)#
- How would you graph and write this problem? A company requires the width of each widget it produces to be in the range 6.75 ± 0.04 cm. This means that the smallest acceptable width is 6.75 - 0.04 cm. What is the range of acceptable width for the widget?
- How do you solve and graph #5x < 3 (x-4) + 7#?
- Andy found these three ordered pairs for equation #y = 65x + 250: (0,250), (5, 575),# and #(10, 900)#. When he graphs these, what is the minimum range for the y-axis?
- How do you solve #6y - 7< 5y - 2#?
- Identify the maximum of y=-3×2+8×+35?
- How do you graph all the points that satisfy #y>= 2x-5#?
- Is (6,0) on the graph of y^2=x^2+36?
- The equation and graph of a polynomial are shown below the graph reaches it's maximum when the value of x is 3 what is the y value of this maximum y=-x^2+6x-7?