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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?

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The rate of change, in dollars per month, of the bank account balance is $50/month

Rate of change of a function

The rate of change of a function is also known as the slope which is expressed as;

f'(x) = f(b)-f(a)/b-a

The standard equation of a linear function is y = mx + b

where

m is the rate of change

Given the  expression −50x+100 represents the balance, in dollars, of a bank account after x months.

Compare

mx = -50x

m = -50

Hence the rate of change, in dollars per month, of the bank account balance is $50/month

Learn more on rate of change here: https://brainly.com/question/8728504

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