The function f determines the number of feet Clarissa has walked from her house

Question

The function f determines the number of feet Clarissa has walked from her house in terms ofthe number of minutes since she started walking. We define the function f with the formula f(t) 11.4t. a. Determine the number of minutes that have elapsed when Clarissa is 37 feet from her home. minutes Preview 25 b. Determine the number of minutes that have elapsed when Clarissa is 74 feet from her home. minutes Preview 6/49 c. Solve 76 11.4t. minutes Preview d. Which of the following best explains your answer from part (c)? ewhen Clarissa is 18.4 feet from her house, she has been walking for 209.76 minutes owhen Clarissa is 209.76 feet from her house, she has been walking for 184 minutes when Clarissa has been walking for 209,76 minutes, she is walking at a constant speed of 18.4 feet per minute None of the above e. Consider a function g that determines the number of minutes that have elapsed in terms of the number of feet clarissa is from her house, t. i. What is the independent quantity? the number of minutes it takes Clarissa to walk to school ii. What is the dependent quantity? tha number of teet Carissa is from her house her h e. f Define the function g that determines the number of minutes that have elapsed in terms of the number of feet Clarissa is from

Explanation / Answer

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Given

f(t) = 11.4t (Number of feets claria has walked from her house)

a) if Claria has walked 37 feets, time elapsed = 37 / 11.4

3.245614 minutes

Solution

b) if Claria has walked 74 feets, time elapsed = 74 / 11.4

6.491228 minutes

Solution

c) 209.76 = 11.4t

=> t = 209.76 / 11.4

=> t = 18.4 minutes

d) Clearly as calculated in option c , When Claria has walked for 209.76 feets from her house, she would have waled for 18.4 minutes.

Option (d) is correct.

Thank you !!

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