# Linear, Exponential, and Quadratic Models

Linear, exponential, and quadratic models serve as foundational pillars in mathematical modeling, each offering unique insights into the representation of real-world phenomena. Linear models capture constant rates of change, providing a straightforward depiction of proportional relationships. Exponential models, on the other hand, showcase rapid growth or decay, emphasizing the significance of constant percentage change. Quadratic models, characterized by their parabolic shapes, illuminate non-linear patterns and are frequently employed to analyze various physical and social phenomena. This trio of mathematical models forms a versatile toolkit, empowering analysts to articulate and interpret diverse scenarios with precision and clarity.

- The sum of the squares of two consecutive positive even integers is 340. How do you find the number?
- The sum of 4 consecutive odd integers is 336, how do you find the largest integer?
- CopyMart charges $29 plus 44 cents per copy to produce promotional brochures. How many brochures can Steve purchase if he has a budget of $87.08?
- An amount say #$800# is invested at a rate of interest of #5%# for #30# years. What is the amount at the end of the period if it is?
- The sum of two numbers is 6 and their product is 4. How do you find the larger of the two numbers?
- If the radius of a circle is 8 inches, what is the area?
- In PQR triangle , PQ=PR=13. If the length of the altitude drawn from Q perpendicular to side PR is 12 what is the perimeter of PQR?
- The sum of three consecutive odd integers is 231, how do you find the integers?
- The sum of 3 consecutive odd numbers is 27, how do you find the numbers?
- If the sum of three consecutive odd integers is -87, what are the integers?
- Devaughn's age is three times Sydney's age. The sum of their ages is 92. What is Devaughn's age?
- Two pumps working together drain a pool in #6# hours. If older pump itself drains out the pool in #14# hours, how much time will newer pump take to drain the pool?
- After a 20% reduction you purchase a TV for $320 what was the TVs price prior to the reduction in price?
- The hall had 160 seats. After the reconstruction every row had one seat added to it, and the number of rows doubled. How many seats were before and after the reconstruction, if the number of seats increased by 38?
- What is the radius of a circle with a circumference of 22?
- In a class of 80 seniors, there are 3 boys for 5 every girls. In the junior class, there are 3 boys for every 2 girls. If the two classes combined have an equal number of boys and girls, how many students are in the junior class?
- The perimeter of a triangle is 24 inches. The longest side of 4 inches is longer than the shortest side, and the shortest side is three-fourths the length of the middle side. How do you find the length of each side of the triangle?
- A square picture is mounted in a frame 1 cm wide. The area of the picture is 2/3 of the total area. How do you find the length of a side of the picture?
- The length of a rectangle is 4 cm more than its width. If the perimeter of the rectangle is 64 cm, how do you find the dimensions of the rectangle?
- The big coloring books have 100 pages for $8.00 while the small coloring books have 25 pages for $2. I paid $28 and got a total of 650 pages how many of each did I buy?