Question

the data in the table below show the percent of miscarriages, by age.
a. create a scatter plot for the data.
b. use the scatter plot to determine whether an exponential function, a logarithmic function, or a linear function is the best choice for modeling the data
woman’s age (x) | 22 | 29 | 33 | 38 | 42 | 49
percent of miscarriages (y) | 9% | 10% | 15% | 19% | 37% | 52%
a. which of the following is the correct scatter plot for the data?
a.
b.
c.
d.

Explanation:

Step1: List the data points

The data points are (22, 9), (29, 10), (33, 15), (38, 19), (42, 37), (49, 52).

Step2: Analyze the trend

As age (x) increases, the percent of miscarriages (y) generally increases, and the rate of increase seems to accelerate (suggesting a non - linear, possibly exponential trend). Now we check the scatter plots:

• Option A: The points seem to show an increasing trend with acceleration, matching our data's trend.
• Option B: The points do not seem to match the increasing and accelerating pattern of our data.
• Option C: The points seem to have a more linear - like increase, which doesn't match the acceleration in our data (especially the jump from 19 to 37 and 37 to 52).
• Option D: The points show a decreasing trend, which is opposite to our data.

Answer:

A. (The scatter plot in Option A, where the x - axis is Woman's Age and y - axis is % of Miscarriages, with points showing an accelerating increase as age increases)