1. Mike opens a checking account with an initial deposit of $200. Without making additional deposits, he withdraws $25 each week. Kyle also opens a checking account. The function y = 25x + 200 represents the current balance in Kyle's account. Suppose the linear functions representing the two situations are graphed on a coordinate plane. Which statement BEST describes the graphs of the functions?
A)
The rate of change is the same, but the y-intercepts are different.
B)
Both the rate of change and the y-intercepts are the same. ***
C)
The rate of change is different, but the y-intercepts are the same.
Eliminate
D)
Both the rate of change and the y-intercepts are different.
Am I right?
B cannot be right, since the savings is decreasing while the checking is increasing.
its c .
What is the answer?
The correct answer is A) The rate of change is the same, but the y-intercepts are different.
Thanks
You're welcome!
Yes, you are correct. The correct answer is B) Both the rate of change and the y-intercepts are the same.
To understand why this is the correct answer, let's analyze the information given:
For Mike's account, he starts with an initial deposit of $200 and then withdraws $25 each week. The balance in his account can be represented by the function y = 200 - 25x, where x represents the number of weeks.
For Kyle's account, the function y = 25x + 200 represents the current balance. This means that Kyle also starts with an initial deposit of $200 and, unlike Mike, there are no withdrawals. The y-intercept of both functions is the same, which means that initially, both Mike and Kyle have $200 in their accounts.
Additionally, the rate of change in both functions is the same. The rate of change can be calculated by looking at the coefficient of x, which is 25 in both functions. Since the rate at which money is withdrawn or added to the account is the same for both Mike and Kyle, the rate of change is constant for both functions.
Therefore, the correct description of the graphs of the functions is that "Both the rate of change and the y-intercepts are the same."