Applications of Linear Graphs
Linear graphs find extensive applications across various disciplines, serving as fundamental tools for visualizing and analyzing relationships between two variables. From physics to economics, engineering to social sciences, their simplicity and clarity make them indispensable. Engineers employ linear graphs to depict relationships between parameters in systems, economists use them to illustrate demand and supply curves, while scientists utilize them to model linear phenomena. With their ability to convey information efficiently, linear graphs play a crucial role in understanding and solving real-world problems across diverse fields.
Questions
- Is this a linear equation #xy=6#?
- How do you use a graph to determine how many hours are required to earn $60 if a job pays $20 per hour?
- How do you complete the ordered pairs so that each ordered pair satisfies the given equation (3, a), (b, -1), 4x - 3y = 7?
- 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?
- Is y=5x+1/2 a linear function?
- 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)?
- The formula for the perimeter of a triangle is p=2L+2W what is the formula for W?
- 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 determine if (-5, -4) is a solution of #9x - 4y = -6#?
- How do you show whether the point (7,-2) satisfies the equation #3x+4y=29#?
- 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 #5x+6y=3x-2#?
- 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?
- 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?
- What are the dimensions of a soccer field if the perimeter is 300 years and the length is 50 yards longer than the width?
- What are different real world problems that are modeled by Linear equations?
- 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 find the perimeter of a triangle given (2, 2), (-2, 2), and (-2, -3)?