1. The problem asks us to estimate the number of words Clara would type in 80 minutes based on the line of best fit from the scatter plot.
2. From the description, the line of best fit passes approximately through points (5, 300) and (65, 2850).
3. We can find the equation of the line in the form $y = mx + b$, where $y$ is the number of words and $x$ is the time in minutes.
4. Calculate the slope $m$:
$$m = \frac{2850 - 300}{65 - 5} = \frac{2550}{60} = 42.5$$
5. Use point-slope form with point (5, 300) to find $b$:
$$300 = 42.5 \times 5 + b$$
$$300 = 212.5 + b$$
$$b = 300 - 212.5 = 87.5$$
6. The equation of the line is:
$$y = 42.5x + 87.5$$
7. To find the number of words typed in 80 minutes, substitute $x=80$:
$$y = 42.5 \times 80 + 87.5 = 3400 + 87.5 = 3487.5$$
8. The closest answer choice to 3487.5 is 3600 (option C).
Therefore, Clara would most likely type about 3600 words in 80 minutes based on the line of best fit.
Words Typed 43F364
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