the scatter plot shows the donations to a non - profit organization for each year that it has existed. if…

the scatter plot shows the donations to a non - profit organization for each year that it has existed. if the current trend continues, which is the most reasonable estimate for the amount that will be donated to the organization in its 10th year? a $25,000 b $45,000 c $30,000 d $50,000

the scatter plot shows the donations to a non - profit organization for each year that it has existed. if the current trend continues, which is the most reasonable estimate for the amount that will be donated to the organization in its 10th year? a $25,000 b $45,000 c $30,000 d $50,000

Answer

Answer:

A. $25,000

Explanation:

Step1: Observe the trend

The scatter - plot shows an increasing trend. The donations seem to be increasing at a relatively steady rate.

Step2: Estimate the rate of increase

From year 1 to year 6, the donations increase from around 2 thousand dollars to around 18 thousand dollars. The increase over 5 years is about 16 thousand dollars, so an average increase per year is approximately $\frac{16}{5}=3.2$ thousand dollars.

Step3: Extrapolate to year 10

From year 6 to year 10 is 4 years. If we assume the average rate of increase of 3.2 thousand dollars per year, the increase from year 6 to year 10 is $3.2\times4 = 12.8$ thousand dollars. Since the donation in year 6 is around 18 thousand dollars, the estimated donation in year 10 is $18 + 12.8\approx25$ thousand dollars.