Answer:
B) 77
Step-by-step explanation:
We are asked to interpolate data based on a given approximate linear relationship between:
- time spent studying
- score on exam
If we declare the variables:
- \(t\) = time spent studying
- \(y\) = score on exam
we can draw a best fit line for the dataset that is approximately:
\(y \approx \left(\dfrac{85-50}{6-1}\right)\!t + 38\)
\(y \approx 7t + 38\)
Using this best fit line, we can calculate a score estimate for Sophia, who has studied for 5.5 hours. Plugging this into our estimate equation, we get:
\(y \approx 7(5.5) + 38\)
\(y\approx76.5 \approx 77\)
So, the correct answer is B) 77.
