Question

1. Ebony kept her bank account open for only 3 weeks, and the graph shows the entire 3 weeks. During that time, her greatest balance was $400. (a) Give the domain and range of the function. (b) Give an estimate to the nearest hundreds for . Explain how you determined your estimate and tell what means in context of the situation. (c) Ebony’s bank balance first reached $0 on Day 12. How would you show that information in function notation? (d) Ebony’s bank balance remained at $0 from Day 12 through Day 15. As you count segments from the left, which segment on the graph1, 2, 3, 4, 5, or 6 represents that information? Explain how you know.

Answer 1

Answer:

  a) 0 ≤ d ≤ 21 . . domain; 0 ≤ B ≤ 400 . . range

  c) B(12) = 0

  d) 4th segment

Step-by-step explanation:

(a) The domain of the function B(d) is from d = 0 to the number of days the account was open:

  0 ≤ d ≤ 21 . . . . domain

The range is the set of values the bank balance might have. We know the minimum is 0 and the maximum is 400:

  0 ≤ B ≤ 400 . . . . range

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(b) (missing question content)

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(c) The balance on day 12 is B(12). We're told it is zero, so...

  B(12) = 0

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(d) The 4th segment of the graph is at B(d) = 0.

In this context, it is reasonable to assume the vertical scale starts at 0 at the horizontal axis. We are told that (12, 0) is a point on the graph. It is consistent with this assumption that slightly more than halfway through the graphed domain, the graph meets the horizontal axis. The graph stays at the horizontal axis for "segment 4."