Question

Linear Application The equation C=28000−3500q C=28000-3500 q represents the balance in your college payment account after q quarters.

Answer 1

Check below, please.

1) Interpret the Slope

Since this linear equation has a positive slope, we can state that at each quarter there is a decrease, we can see that clearly in a t-table for this:

So the balance decreases by $3500 per quarter.

The balance account is decreasing at a rate of 3500 dollars per quarter

2) Interpret the Initial Value

Note that the initial value, in this case, is $28,000.

After 0 quarters, the balance in this account is $ 28,000

3) How many quarters will this account pay for

Note, that as time goes by the balance is decreasing if we insert q=7, and q =8 we'll have:

`\begin{gathered} C(q)=28000-3500q \\ C\mleft(7\mright)=28000-3500\mleft(7\mright)=3500 \\ C(8)=28000-3500(8)=0 \end{gathered}`

So, we can answer that

You can pay for 8 quarters before the money is gone