Question

The function f(t) = 349.2(0.98)t models the relationship between t, the time an oven spends cooling and the temperature of the oven. A 2-column table with 5 rows. The first column is labeled time (minutes)t with entries 5, 10, 15, 20, 25. The second column is labeled oven temperature (degree Fahrenheit) f(f) with entries 315, 285, 260, 235, 210. For which temperature will the model most accurately predict the time spent cooling? 0 100 300 400

Answer 1

C. 300

We need to find the temperature that most resembles with the model

We can easily see the graph if we plot it using a calculator

f(t) = 349.2(0.98)^t

Case a. 0

Zero is only achievable as the cooling time goes to infinity. This is not the case.

Case b. 100

for f = 100,

t ≈ 61.6,

which is out of the values of the table

Not the correct option

Case c. 300

for f = 300,

t ≈ 7.5,

which is in range with the values of the table