Question

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

Answer 1

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