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
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