Question

1. you measured the temperature outside every hour. at 8 am, it was 75°. at 9 am, it was 78°. at 10 am, it was 81°. at 11 am, it was 84°. what process would you use to estimate the temperature at 9:30 am? a. interpolation b. extrapolation what would make it easier for you to make this estimation?

Explanation:

1. For the first question: Interpolation is used to estimate values within a set of known data points, while extrapolation estimates values outside the known range. 9:30 am falls between the measured times of 9 am and 10 am, so interpolation is the correct process.
2. For the second question: Confirming that the temperature change follows a consistent, linear pattern (or having data showing a steady rate of increase) simplifies the interpolation, as it allows for a straightforward calculation of the midpoint temperature.

Answer:

1. a. interpolation
2. Knowing that the temperature increases at a constant, linear rate between 9 am and 10 am (or having evidence of a steady, predictable temperature change pattern) would make the estimation easier.