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hjlf
3 years ago
8

Problem 2

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
8 0

Answer:

Let the 'cart' total is x and total payment is y.

The sales tax is 5.6% added to the 'cart' amount and then shipping and handling fee added.

<h3>Part A</h3>

<u>There are three intervals as below and function added accordingly:</u>

  • 0 < x ≤ 49.99      ⇒ y = x + 5.6% + 3.95 = 1.056x + 3.95
  • 50 ≤ x ≤ 75.99    ⇒ y = x + 5.6% + 11.95 = 1.056x + 11.95
  • x ≥ 76                  ⇒ y = x + 5.6% + 5.95 = 1.056x + 5.95
<h3>Part B</h3>
  • x = 74.50, this falls in the second interval
  • y = 74.50*1.056 + 11.95 = $90.62 (rounded )
<h3>Part C</h3>

y = 89.20, this is close to the number we got in part B and we assume it is same - the middle interval.

  • 89.20 = 1.056x + 11.95
  • 1.056x = 89.20 - 11.95
  • 1.056x = 77.25
  • x = 77.25 / 1.056
  • x = 73.15 (rounded )

-----------------------------------------

  • <em>Note. Shipping and Handling charges seems incorrectly ordered. If so the answers above all should change accordingly.</em>
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