Answer:
T(90) ≈ 89.742 °F
Explanation:
To find the temperature of the object after one and a half hours, we need to substitute the value of t = 1.5 hours into the equation, T(t) = 61e^(-0.0174t) + 77.
First, let's convert 1.5 hours to minutes:
⇒ 1.5 hours · 60 minutes/hour = 90 minutes
Now we can substitute t = 90 into the equation:
⇒ T(90) = 61e^(-0.0174 · 90) + 77
Using a calculator, we can evaluate this expression:
∴ T(90) ≈ 89.742 °F
Rounding to the nearest degree, the temperature of the object after one and a half hours is approximately 90 degrees Fahrenheit.