Answer:
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
