Answer :
Final Answer:
The function f(t) = [tex]7^t[/tex] increases by a factor of 49 over the interval from t = 1 to t = 3.
Explanation:
To understand how the function f(t) = [tex]7^t[/tex] changes over the given interval, we can evaluate it at t = 1 and t = 3 and then compare the results.
At t = 1, f(1) = [tex]7^1[/tex] = 7.
At t = 3, f(3) = [tex]7^3[/tex] = 343.
Now, let's calculate how much f(t) increases from t = 1 to t = 3:
Increase = f(3) - f(1) = 343 - 7 = 336.
To determine the factor by which f(t) increases, we can divide f(3) by f(1):
Factor of Increase = f(3) / f(1) = 343 / 7 ≈ 49.
So, the correct statement is that f(t) increases by a factor of 49 over the interval from t = 1 to t = 3.
Learn more about interval
brainly.com/question/31511710
#SPJ11
