Describe 2 real world situation that could be modeled by a quadratic function

Solution:

1. Consider two trees which are 5 m apart. Suppose one tree is located at a distance of 45 m from my house and another tree is located 50 m from my house. Represent, distance of two trees from my house in terms of Quadratic function.

Solution:

Let location of my house when map of planet earth is drawn or on globe=x

⇒ (x-45) (x-50) = 0

⇒ x² - 45 x - 50 x + 45 * 50 = 0

⇒ x² - 95 x + 2250=0

2. Suppose age of me and my brother is 6 and 10 years. The Product of difference between age of me and my mother who is x years old and my brother and mother is 780. Find my mother's age.

Solution: Age of my mother = x years

→ (x-6) * (x-10) = 780,

if you will solve it, the value of x = 36 years