Question

An overdraft balance occurs when the available balance in a bank account is below zero. Yvonne has an overdraft balance at the beginning of the year. The function graphed models Yvonne's account balance, y, in dollars, x weeks after the beginning of the year.

Select True or False to describe each statement.


True False
The x-intercept represents Yvonne's account balance at the beginning of the year.

The slope represents the amount Yvonne deposits to her account each week.

Yvonne no longer has an overdraft balance 4 weeks after the beginning of the year.


Graph of a line on a coordinate plane. The horizontal x axis ranges from 0 to 9 in increments of 1. The vertical y axis ranges from negative 100 to 100 in increments of twenty five. A line passes through the points begin ordered pair 0 comma negative 1 hundred end ordered pair and begin ordered pair 4 comma 0 end ordered pair and begin ordered pair 8 comma 1 hundred end ordered pair.

Answer 1

False; True; True.

Explanation:

In this situation, the y-intercept would represent the amount of money in her account at x=0 weeks, or the beginning of the year. This is not the x-intercept, so the first statement is false.

The slope is the rate of change. This would describe how her account changes every week, so this represents the amount of money she deposits into her account each week. This means the second statement is true.

The line goes through the point (4, 0). Since x is the number of weeks, this would represent the amount in her account after 4 weeks. Since the y-value is 0, this means she no longer has an overdraft balance after 4 weeks. This means the second statement is true.

Answer 2

Following are the response to the given points:

• The y-intercept, it would represent the number of funds in her account at x=0 weeks, or the start of the year. As this is not the x-intercept, the first assertion is untrue.

• The rate of increase is represented by the slope. This would illustrate how her account varies, That's the sum of money she puts into her account each week.

• This point is crossed by the line (4, 0), since x is indeed a couple of weeks, this is the amount in the account following 4 weeks. Since y-value=0, she no longer has an overflow balance after 4 weeks.

Therefore, the final answer is "false, true, and true".

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