Applications of Linear Graphs

Key Questions

• What are different real world problems that are modeled by Linear equations?

  For people paid the same amount per hour for every hour worked, total pay is a linear function of hours worked.

  (Overtime pay would make this a piecewise linear relationship.)

  Jim H · 1 · Mar 26 2015

• What are different real world problems that are modeled by Linear equations?
• How do you use a graph to determine how many hours are required to earn $60 if a job pays $20 per hour?
• What are the dimensions of a soccer field if the perimeter is 300 years and the length is 50 yards longer than the width?
• How many of each calculator was sold if a simple calculator costs $5 and scientific calculator costs $16 and the store sold 35 calculators for total amount of $340?
• Is this a linear equation #xy=6#?
• Is this a linear equation #y^2- 4x=6#?
• Is this a linear equation #y=0#?
• Is this a linear equation #4x=2y#?
• Is this a linear equation #5x+6y=3x-2#?
• How do you determine if (-5, -4) is a solution of #9x - 4y = -6#?
• How do you complete the ordered pairs so that each ordered pair satisfies the given equation (3, a), (b, -1), 4x - 3y = 7?
• A ball is thrown into the air from the roof of the building. Its height (in feet) t seconds later is given by h(t)=80+80t-16t^2. What is the initial height of the ball?
• How do you find the perimeter of a triangle given (2, 2), (-2, 2), and (-2, -3)?
• The formula for the perimeter of a triangle is p=2L+2W what is the formula for W?
• The perimeter of a triangle is 78 m. If one side of the triangle is 25 m and the another side of 24 m, how long is the third side of the triangle?
• The length of each of the legs of an isosceles triangle is 3 km longer than the base. The perimeter of the triangle is 24 km. How do you find the length of each side?
• A 3-mile cab ride costs $3.00. A 6-Mile cab ride costs $4.80. How do you find a linear equation that models cost (c) as a function of distance (d)?
• Make a question involving 30 of something being divided into 5 groups, then interpret the results. Help?
• On his twelfth birthday, Ben was 4 feet tall. On his thirteenth birthday, Ben was 5 feet tall. How much did Ben grow between his twelfth and thirteenth birthdays?
• Is y=5x+1/2 a linear function?
• A skydiver parachutes to the ground. The height y (in feet) of the skydiver after x seconds is #y=-10x+3000#, how do you graph and Interpret the x-intercept and the slope?
• What is the value of the function #y=2x-3# when x=-1?
• How do you show whether the point (7,-2) satisfies the equation #3x+4y=29#?
• How do you graph #y=-x-2# using a table?