Solved on Nov 07, 2023

Find the rr value for the equation y=4.95e0.0542ty=4.95 e^{0.0542 t} and explain the type of change it represents.

STEP 1

Assumptions1. The given equation is y=4.95e0.054ty=4.95 e^{0.054 t}. . The equation is of the form y=Aerty=A e^{r t}.
3. We need to identify the rr value and explain the type of change it represents.

STEP 2

In the given equation, we can see that the rr value corresponds to the coefficient of tt in the exponent of ee.

STEP 3

By comparing the given equation y=.95e0.0542ty=.95 e^{0.0542 t} with the standard form y=Aerty=A e^{r t}, we can identify rr.
r=0.0542r =0.0542

STEP 4

The rr value in the exponential function y=Aerty=A e^{r t} represents the rate of change.

STEP 5

In this context, a positive rr value indicates that the function is growing exponentially.The rr value for the equation is0.0542 and it represents an exponential growth.

Was this helpful?
banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ContactInfluencer programPolicyTerms
TwitterInstagramFacebookTikTokDiscord