Question

the population of a country was 127,202,630 in 1930 and 283,421,913 in 2000. use the ordered pairs (0,127 million) and (70,283 million) to find and interpret the slope of the line representing the average rate of change in the population.
the slope of the line through the points (0,127 million) and (70,283 million) is approximately (square) million. (round to the nearest hundredth as needed.)

Explanation:

Step1: Recall slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$

Step2: Identify coordinate values

Let $(x_1,y_1)=(0,127)$ and $(x_2,y_2)=(70,283)$

Step3: Substitute into slope formula

$m = \frac{283 - 127}{70 - 0} = \frac{156}{70}$

Step4: Calculate and round result

$\frac{156}{70} \approx 2.23$

Answer:

2.23

Interpretation: The slope means the country's population increases by approximately 2.23 million per year, on average, between 1930 and 2000.