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Reba just took a strawberry-rhubarb pie out of the oven. The temperature of the pie xx minutes after it was removed from the oven is given by the function f(x)f(x). The temperature is measured in degrees Fahrenheit.\newlineWhat does f(35)<115f(35) < 115 tell you?\newlineChoices:\newline(A)At 3535 minutes, the temperature of the pie is less than 115°F115\degree\text{F}.\newline(B)At 115115 minutes, the temperature of the pie is less than 35°F35\degree\text{F}.

Full solution

Q. Reba just took a strawberry-rhubarb pie out of the oven. The temperature of the pie xx minutes after it was removed from the oven is given by the function f(x)f(x). The temperature is measured in degrees Fahrenheit.\newlineWhat does f(35)<115f(35) < 115 tell you?\newlineChoices:\newline(A)At 3535 minutes, the temperature of the pie is less than 115°F115\degree\text{F}.\newline(B)At 115115 minutes, the temperature of the pie is less than 35°F35\degree\text{F}.
  1. Understand Function and Variables: Understand the function and the variables involved. The function f(x)f(x) represents the temperature of the pie xx minutes after it was removed from the oven. The variable xx represents the number of minutes, and f(x)f(x) represents the temperature in degrees Fahrenheit.
  2. Interpret Given Inequality: Interpret the given inequality f(35)<115f(35) < 115. The inequality tells us that the temperature of the pie 3535 minutes after it was removed from the oven is less than 115115 degrees Fahrenheit.
  3. Choose Correct Option: Choose the correct option based on the interpretation of the inequality.\newlineOption (A) states "At 3535 minutes, the temperature of the pie is less than 115F115\,^\circ\mathrm{F}," which correctly matches our interpretation from Step 22.\newlineOption (B) states "At 115115 minutes, the temperature of the pie is less than 35F35\,^\circ\mathrm{F}," which is incorrect because it reverses the roles of the temperature and time.

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