Question
Ao ajustar os dados tabela abaixo ao modelo exponencial obtém-se: Escolha uma opção: a. y=1747,1e^0.02x b. y=344,46e^-0.519x C. y=0,776e^0.7256x d. y=4,1074e^0,016x e. y=250,1e^-0.511x
Solution
4.7
(216 Votos)
Julia Maria
Mestre · Tutor por 5 anos
Resposta
### b.
Explicação
## Step 1: Understand the Exponential Model### The exponential model is generally of the form
, where
and
are constants. We need to fit this model to the given data.## Step 2: Analyze the Data### The data shows a decreasing trend in
as
increases, suggesting that
should be negative for an exponential decay.## Step 3: Fit the Exponential Model### To find the best fit, we can use methods like least squares regression or software tools to determine the values of
and
. However, since this is a multiple-choice question, we will compare the options with the observed data pattern.## Step 4: Compare Options### Option b:
suggests an exponential decay, which aligns with the data trend. Checking the initial value when
,
, which is close to the first data point
.## Step 5: Verify the Best Fit### By comparing the calculated values from each option with the actual data points, option b provides a reasonable approximation for the entire dataset.