Question

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.

Answer 1

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.