QuestionFind the $r$ value for the equation $y=4.95 e^{0.0542 t}$ and explain the type of change it represents.

Studdy Solution

STEP 1

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

STEP 2

In the given equation, we can see that the $r$ value corresponds to the coefficient of $t$ in the exponent of $e$ .

STEP 3

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

STEP 4

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

STEP 5

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

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QuestionFind the $r$ value for the equation $y=4.95 e^{0.0542 t}$ and explain the type of change it represents.

Studdy Solution

STEP 1

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

STEP 2

In the given equation, we can see that the $r$ value corresponds to the coefficient of $t$ in the exponent of $e$ .

STEP 3

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

STEP 4

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

STEP 5

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

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

Studdy Solution

STEP 1

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

STEP 2

In the given equation, we can see that the rrr value corresponds to the coefficient of ttt in the exponent of eee.

STEP 3

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

STEP 4

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

STEP 5

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

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Studdy solves anything!

Start learning now

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

QuestionFind the $r$ value for the equation $y=4.95 e^{0.0542 t}$ and explain the type of change it represents.

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

In the given equation, we can see that the $r$ value corresponds to the coefficient of $t$ in the exponent of $e$ .

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

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

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