Bryan has a balance of $320 in his checking account. He spends $15 each week for
next eight weeks. If you were to graph the linear relationship, what would be the
numerical value of the slope? What would the slope mean?

Respuesta :

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.