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After 10 minutes, what is the temperature of the soup modeled by (T(t) = 75(1.03)⁻ᵗ + 5)?

a) 70.25°C
b) 72.40°C
c) 74.57°C
d) 76.76°C

1 Answer

4 votes

Final answer:

The temperature of the soup after 10 minutes is approximately 60.508°C.

Step-by-step explanation:

The temperature of the soup after 10 minutes can be found by plugging in t = 10 minutes into the given equation:



T(t) = 75(1.03)-t + 5



T(10) = 75(1.03)-10 + 5



Simplifying the equation gives us:



T(10) = 75(0.744093) + 5



T(10) ≈ 55.508 + 5



T(10) ≈ 60.508



Therefore, the temperature of the soup after 10 minutes is approximately 60.508°C.

User Mohamad Ghafourian
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