Math  /  Algebra

Question9. The graph models the linear relationship between the number of monthly payments made on a loan and the remaining balance in dollars left to pay on the loan.
Loan
Which statement describes the xx-intercept of the graph?
The xx-intercept is 27,000 , which represents the number of monthly payments needed to repay the loan.
The xx-intercept is 27,000 , which represents the initial balance in dollars of the loan.
The xx-intercept is 60 , which represents the initial balance in dollars of the loan.
The xx-intercept is 60 , which represents the number of monthly payments needed to repay the loan.

Studdy Solution

STEP 1

What is this asking? What does the x\text{x}-intercept of this graph tell us about the loan? Watch out! Don't mix up the meaning of the x\text{x}-intercept and the y\text{y}-intercept!

STEP 2

1. Understand the x-intercept
2. Relate to the loan

STEP 3

The **x\text{x}-intercept** is where the graph crosses the x\text{x}-axis.
This happens when the y\text{y}-value (in this case, the remaining balance) is **zero**.

STEP 4

Looking at the graph, the line crosses the x\text{x}-axis at x=60\text{x} = 60.
So, the x\text{x}-intercept is **60**.

STEP 5

The x\text{x}-axis represents the number of monthly payments.
The y\text{y}-axis represents the remaining balance.

STEP 6

Since the x\text{x}-intercept occurs when the remaining balance is zero, it means the loan is fully paid off!

STEP 7

Therefore, the x\text{x}-intercept of **60** represents the number of monthly payments needed to repay the loan.

STEP 8

The x\text{x}-intercept is 60, which represents the number of monthly payments needed to repay the loan.

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