Question

javier borrowed $1950 from his parents. each month he repaid his parents $325. the table shows the function relating javiers remaining balance to the number of months.

time (months)	remaining balance
0	1950
2	1300
5	325
6	0

a. find the intercepts.
b. describe what the intercepts mean in the context of the situation.

Explanation:

Step1: Recall the definition of intercepts

The x - intercept is the value of x when y = 0, and the y - intercept is the value of y when x = 0.

Step2: Identify the y - intercept

From the table, when x = 0, y=1950. So the y - intercept is 1950. It represents the amount of money Javier borrowed from his parents initially (at the start, when 0 months have passed).

Step3: Identify the x - intercept

From the table, when y = 0, x = 6. So the x - intercept is 6. It represents the number of months it takes for Javier to pay off the entire debt to his parents.

Answer:

The y - intercept is 1950, which is the initial amount Javier borrowed. The x - intercept is 6, which is the number of months it takes to pay off the debt.