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28 September, 17:52

The expression - 50x+100 represents the balance, in dollars, of a bank account after x months. What is the rate of change, in dollars per month, of the bank account balance? Enter your answer in the box.

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  1. 28 September, 18:12
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    Given expression = - 50x+100.

    Let us understand the structure of the above expression.

    Actually above expression is written in slope-intercept form.

    y = mx+b, where m is the slope and in other words we call a slope " rate of change", and b is the y-intercept, we take b as fix value.

    If we compare - 50x+100 by slope-intercept form mx+b, we can see that coefficent of x is - 50 there,

    Therefore, m=-50.

    So, the rate of change of the bank account balance (in dollars per month) = $50/month.

    And because it is a negative 50, so we could say the rate of decrease per month is $50.
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