Suppose that the number of inhabitants of country a is given by y=-7.24x+937.69 million, and the number of inhabitants of country b is given y=2.16x+834.29 million, where x is the number of years since 1960. Find the year in which the number of inhabitants of country A equals the number of inhabitants of country B

11 years

Step-by-step explanation:

For country A;

y = - 7.24x + 937.69

For country B;

y = 2.16x + 834.29

To find the number of years in which inhabitants of country A equals the number of inhabitants of country B, we equate both equations together as shown below:

y = - 7.24x + 937.69 (1)

y = 2.16x + 834.29 (2)

Equate equation (1) and (2)

-7.24x + 937.69 = 2.16x + 834.29

Collect like terms

-7.24x - 2.16x = 834.29 - 937.69

-9.4x = - 103.4

Divide both side by the coefficient of x i. e - 9.4x

x = - 103.4/-9.4

x = 11

Therefore, it will take 11 years for the inhabitants of country A to equal the number of inhabitants of country B