Question

The international charity group helps children living in poverty. In donations were about 120.5 million, and in 2005, 216.5 million. The organization assumes that this trend will continue at a constant rate in the future. Find the rate of change (slope) of donations over time.

a. 9 million per year
b. 7 million per year
c. 8 million per year
d. 6 million per year

Answer 1

The rate of change in donations from 1994 to 2005 is approximately $9 million per year, calculated by finding the difference in donations and dividing by the number of years.

Step-by-step explanation:

The rate of change (slope) of donations over time can be calculated by subtracting the initial amount of donations from the final amount, and then dividing by the number of years that have passed. The initial amount in 1994 was $120.5 million and the final amount in 2005 was $216.5 million. The years between 1994 and 2005 amount to 11 years.

The rate of change is therefore (216.5 million - 120.5 million) / 11 years = 96 million / 11 years = approximately $8.727 million per year. When rounded to the nearest million, the rate is $9 million per year.