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. For which temperature will the model most accurately predict the time spent cooling? 0 100 300 400

Respuesta :

Answer:

c. 300 on edge

Step-by-step explanation:

just took the test

A function assigns the values. The temperature that will model most accurately predict the time spent cooling will be 300.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

For the given function [tex]f(t)=349.2 (0.98)^t[/tex], the value of t which will lie within the given function range will be the value function that will model most accurately predict the time spent on cooling. Therefore, let's substitute the values and check,

A.) t = 0

[tex]f(t)=349.2 (0.98)^t\\\\0=349.2 (0.98)^t[/tex]

As the value of t will lie at infinite, therefore, this will not give an accurate prediction of the model.

B.) f(t) = 100

When the value of the function will be 100 then the value of t will be 61.6, therefore, this can not be the most accurate prediction.

C.) f(t) =300

When the value of the function will be 300 then the value of t will be 7.5, therefore, this is the most accurate prediction.

D) f(t) = 400

When the value of the function will be 400 then the value of t will be -6.724, therefore, this can not be the most accurate prediction.

Thus, the temperature that will model most accurately predict the time spent cooling will be 300.

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