Do the Math Gwen opens a savings account with 50.00 Over the next year,she plans to deposit 10.00 each month into the account. Write a linear function for the amount A. in dollars, in Gwen's account after x months. Because the amount in Gwen's savings account is increasing, the slope is The amount is increasing by square each month, so the slope of the function is square The opening value of Gwen's savings account is square so the y-intercept is square Use the slope and the y-intercept to write the linear function. A(x)=square +square x What are the domain and the range for the general function A(x) The domain and the range A(x)=square +square xareunderline ( ). What are the domain and the range in the context of this real-world problem? In the context of Gwen's saving account, the domain is the number of in a year, and it is represented by the values from x=square to x=square . The range, which represents the of Gwen's savings account.is the y-values of the function evaluated for each domain value.The range is 50, square ....150. Graph the function. The graph should consist of because the value of Gwen's account only changes per month. __

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Do the Math Gwen opens a savings account with 50.00 Over the next year,she plans to deposit 10.00 each month into the account. Write a linear function for the amount A. in dollars, in Gwen's account after x months. Because the amount in Gwen's savings account is increasing, the slope is The amount is increasing by square each month, so the slope of the function is square The opening value of Gwen's savings account is square so the y-intercept is square Use the slope and the y-intercept to write the linear function. A(x)=square +square x What are the domain and the range for the general function A(x) The domain and the range A(x)=square +square xareunderline ( ). What are the domain and the range in the context of this real-world problem? In the context of Gwen's saving account, the domain is the number of in a year, and it is represented by the values from x=square to x=square . The range, which represents the of Gwen's savings account.is the y-values of the function evaluated for each domain value.The range is 50, square ....150. Graph the function. The graph should consist of because the value of Gwen's account only changes per month. __

Answer 1

1. The amount is increasing by $10.00 each month, so the slope of the function is $10.00. 2. The opening value of Gwen's savings account is $50.00, so the y-intercept is $50.00. 3. Use the slope and the y-intercept to write the linear function: \[ A(x) = 50 + 10x \] 4. The domain and the range for the general function $A(x)$ are: - Domain: All real numbers ($-\infty, \infty$) - Range: All real numbers ($-\infty, \infty$) 5. The domain and the range in the context of this real-world problem are: - Domain: $0 \leq x \leq 12$ (since x represents months, and we're considering a 1-year period) - Range: $50 \leq A(x) \leq 170$ (since the minimum amount is $50 and the maximum after 12 months is $170) 6. The graph should consist of discrete points because the value of Gwen's account only changes once per month. 7. After 12 months, Gwen will have saved: \[ A(12) = 50 + 10 \times 12 = 50 + 120 = 170 \] So, Gwen will have saved $170.00 after 12 months.

Answer 2

Gwen's savings account balance increases linearly with a fixed monthly deposit. The slope of the linear function represents the monthly deposit amount, and the y-intercept represents the initial amount in the account. The domain and range are determined by the context of the problem.

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