Question
A bank account balance can be modeled by the graph of the linear function below. What is the rate of change of the balance with respect to the number of months?
balance: 0 - 1400
months: 0 - 4
balance: 0 - 1400
months: 0 - 4
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Answered by
GPT 3.5
To find the rate of change of the balance with respect to the number of months, we need to determine the slope of the linear function that models the bank account balance.
The initial balance is $1400 when the number of months is 0.
As the number of months increases by 4, the balance decreases to $0.
Using the two points, (0, 1400) and (4, 0), we can calculate the slope of the linear function:
slope = (change in y)/(change in x)
slope = (0 - 1400)/(4 - 0)
slope = -1400/4
slope = -350
Therefore, the rate of change of the balance with respect to the number of months is -350. This means that the balance decreases by $350 every month.
The initial balance is $1400 when the number of months is 0.
As the number of months increases by 4, the balance decreases to $0.
Using the two points, (0, 1400) and (4, 0), we can calculate the slope of the linear function:
slope = (change in y)/(change in x)
slope = (0 - 1400)/(4 - 0)
slope = -1400/4
slope = -350
Therefore, the rate of change of the balance with respect to the number of months is -350. This means that the balance decreases by $350 every month.
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