Question

The amount of revenue for a business can be modeled by the function

L(t) = 7300(1.012) 4t. Write an equivalent function of the form L(t) = abt.
Round your final values to 4 decimal places.

Answer 1

L(t)=

7300

1.0489

7300(1.0489)

Explanation:

Answer 2

a=7300, b=1.0108.

L(t) = 7300(1.0108)^t

Explanation:

First, we can see that L(t) = 7300(1.012)^(4t) can be rewritten as L(t) = 7300e^(4tln(1.012))

Using the properties of logarithms, we can simplify this to L(t) = 7300e^(4t(ln(1.012))

Now, we can see that the function L(t) is in the form L(t) = ab^t, where a = 7300 and b = e^(ln(1.012))

Therefore, we can write the equivalent function as L(t) = 7300e^(0.048t)

The final values rounded to 4 decimal places are a=7300, b=1.0108.

L(t) = 7300(1.0108)^t