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Safari File Edit Vew History Bookmarks Window Help 1.1.58 025.MI In the followin

ID: 3194976 • Letter: S

Question

Safari File Edit Vew History Bookmarks Window Help 1.1.58 025.MI In the following exercise, you are asked to relate functional notation to practical explanations of what certain functions mean. If ptt) is the profit I expect my business to earn t years after opening, use functional notation to express my expected proft after 5 years and 8 months. (Round your answer to two decimal places. 1.1.58.027 of what certain functions mean. In the following exercise, you are asked to relate functional notation to practical explanations If stL) is the top speed of a fish that is & inches long, what does st17) mean? A fish of length 17 has a top speed of 17 miles per hour s(17) is the speed of the fish times the length of the fish. A fish 17 inches long has a top speed of s(17) A fish s(17) inches long has an average speed of 17 miles per hour

Explanation / Answer

Hi!

Answer 1) : If p(t) is the profit after t years, then p(1) is the profit 1 year after opening the business, p(5) is the profit 5 years after opening the business and so on.

Now our t = 5 years and 8 months = 5 years + 8 months.

8 months = 8/12th of a year ; 8/12 = 0.667

So t = 5 years + 0.667 years = 5.667 years. Since the question says to round up to two decimal places, 0.667 should be rounded up to 0.67.

Therefore, t = 5 + 0.67 = 5.67.

FINAL ANSWER = p( 5.67 )

Answer 2 : If s(L) is the top speed of a fish that is L inches long, then s(1) is the top speed of a fish that is 1 inch long and s(2) is the top speed of a fish that is 2 inches long and so on.

Similarly, s(17) is the top speed of a fish that is 17 inches long, which can be reframed as - a fish 17 inches long has a top speed of s(17), which is Option (C).

FINAL ANSWER : Option (C).

Cheers!