Answer:
The numerical value of the slope is 15, and it is by how much his balance decreases each week.
Step-by-step explanation:
Bryan's balance y after x weeks is given by a first degree function in the following format:
[tex]y = a - bx[/tex]
In which a is his initial balance and b is how much he spends a week. The slope is b., that is, how much is deducted from his balance each week.
In this problem, we have that:
Bryan has a balance of $320 in his checking account. This means that [tex]a = 320[/tex].
He spends $15 each week for next eight weeks. This means that [tex]b = 15[/tex]
So the equation for Bryan's balance is
[tex]y = 320 - 15x[/tex]
The numerical value of the slope is 15, and it is by how much his balance decreases each week.