Final answer:
To estimate the number of pounds lost per month with 4 hours of weekly aerobic activity, we need to calculate the slope of the trend line from the scatterplot and multiply it by 4. The best estimate is 3 pounds. Hence the correct answer is option A
Step-by-step explanation:
In a given question, we are asked to estimate the number of pounds lost per month with 4 hours of weekly aerobic activity based on the trend line from the scatterplot. To estimate this, we can look at the slope of the trend line from the scatterplot. The slope represents the rate of change, so we can determine the number of pounds lost per hour of aerobic activity.
We can calculate the slope of the trend line by selecting any two points on the line and using the formula: slope = (change in y)/(change in x). In this case, let's say the trend line passes through two points (0, 0) and (4, x). The change in y is x - 0, and the change in x is 4 - 0. So the slope of the trend line is (x - 0)/(4 - 0) = x/4.
Since we want to estimate the number of pounds lost per month with 4 hours of weekly aerobic activity, we need to multiply the slope by 4 to account for the 4-hour duration. Therefore, the best estimate for the number of pounds lost per month with 4 hours of weekly aerobic activity is 4 * (x/4) = x pounds.
Based on the given options, the best estimate for the number of pounds lost per month with 4 hours of weekly aerobic activity is:
- A) 3 pounds
- B) 4.5 pounds
- C) 6 pounds
- D) 7.5 pounds
So the correct answer is A) 3 pounds.