Question

A checking account is set up with an initial balance of $4800, and $400 is removed from the account each month for rent (no other transactions occur on the account).

a) What are the independent and dependent variables?

b) What is the slope and what does it mean in context?

c) What is the y-intercept and what does it mean in context?

b) What is the x-intercept and what does it mean in context?

d) Write a function that models the amount of money in the account after m months.

Answer 1

So first you’re equation will be y=-400x+4800. That equation is set in y=Mx+b form where m is the slope and b is the y intercept. X-values are independent and y-values are dependent. The y intercept is 4800 because that is the beginning deposit. The x intercept is 12 and we get that when we set y as 0 and solve for x. The slope is -400 because we are losing that every month. Going with m as months, y=-400m+4800