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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.

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

Verificación de expertos
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.