y-intercepts in Real-World Problems Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 53 of 5 Items

Question
Use the table to answer the question.

Years Amount
1 $1,080
2 $1,160
3 $1,240
The table shows the amount of money in a bank account after a certain number of years. What is the initial value?

Answer 1

The initial value, or the y-intercept, is the starting amount in the bank account. In this case, the initial value is $1,080 because that is the amount of money in the account after 1 year (the first year).

Answer 2

Victor will start paying off his credit card in January. He uses the function f(x)=−35x+2,500 to model the amount of money he owes x months after January. How much money does he owe at the beginning of January?(1 point)
$

Answer 3

In the given function f(x) = -35x + 2,500, x represents the number of months after January. At the beginning of January, x = 0 since it is the starting point.

Plugging in x = 0 into the function:
f(0) = -35(0) + 2,500
f(0) = 0 + 2,500
f(0) = 2,500

Therefore, at the beginning of January, Victor owes $2,500.