Question

A bottle of soda with a temperature of 71°Fahrenheit was taken off a shelf and placed in a refrigerator with an intermal temperature of 35°F The constant cooling rate is 2.51% per minute. The temperature of the soda, t, minutes after it was placed in the refigerator, can be modeled by the Newton Cooling Function, where S(t) is measured in degrees Fahrenheit

Which equation models the situation using the formula. T(t) = T₂+ (Tₒ - Tₛ)e ⁻ᵏᵗ
o S(t)=36 + 71e⁻⁰.⁰²⁵¹ᵗ
o S(t) = 71+ 35e⁻⁰.⁰²⁵¹ᵗ
o S(t)= 35+ 36e⁻⁻⁰.⁰²⁵¹ᵗ

Answer 1

The equation that models the situation using the Newton Cooling Function formula is S(t) = 71 + 35e⁻⁰.⁰²⁵¹ᵗ

Step-by-step explanation:

The equation that models the situation using the Newton Cooling Function formula is:

S(t) = 71 + 35e⁻⁰.⁰²⁵¹ᵗ

In this equation, S(t) represents the temperature of the soda at time t after it was placed in the refrigerator. The initial temperature of the soda is 71°F, the internal temperature of the refrigerator is 35°F, and the constant cooling rate is 2.51% per minute.