At an ice cream factory, raw milk and cream are first heated and then cooled to 40 °F in a few minutes before freezing. The table displays the temperature of the cooled mixture at various times during the freezing process. Time (hours) 0 1 2 3 5 8 Temperature (°F) 40 39.2 38.4 37.6 36.2 34 5. Step 2: Determine what the temperature of the ice cream will be after 11 hours. Round your answers to the nearest tenth.

To determine the temperature of the ice cream after 11 hours, we need to first identify the pattern of temperature decrease over time and then extrapolate that pattern to 11 hours.

From the provided data, we can observe that the temperature decreases linearly over time. We can find the rate of temperature decrease per hour and then use this rate to estimate the temperature after 11 hours.

Using the data provided:

Time (hours): 0 1 2 3 5 8

Temperature (°F): 40 39.2 38.4 37.6 36.2 34

First, we find the rate of temperature decrease per hour:

Rate of decrease = (Initial temperature - Final temperature) / Total time

Rate of decrease = (40°F - 34°F) / 8 hours

Rate of decrease = 6°F / 8 hours

Rate of decrease = 0.75°F/hour

Now, we can use this rate to estimate the temperature after 11 hours:

Temperature after 11 hours = Initial temperature - (Rate of decrease × Time)

Temperature after 11 hours = 40°F - (0.75°F/hour × 11 hours)

Temperature after 11 hours ≈ 40°F - 8.25°F

Temperature after 11 hours ≈ 31.75°F

So, the temperature of the ice cream after 11 hours will be approximately 31.8°F when rounded to the nearest tenth.