The number of hours required to do a painting job is represented by the function f (x) = 2x, where f (x) gives the number of hours and x is the number of painters doing the job. How much time will {4, 10, 14, 16, 18} workers take to do the job?

{0.2, 0.7, 0.8, 0.9, 1.0}

{0.1, 0.4, 0.6, 0.8, 0.9}

{0.2, 0.59, 0.73, 0.84, 0.9}

{0.11, 0.125, 0.14, 0.2, 0.5}

Question

Julie Castaneda

Mathematics

7 March, 04:53

The number of hours required to do a painting job is represented by the function f (x) = 2x, where f (x) gives the number of hours and x is the number of painters doing the job. How much time will {4, 10, 14, 16, 18} workers take to do the job?

{0.2, 0.7, 0.8, 0.9, 1.0}

{0.1, 0.4, 0.6, 0.8, 0.9}

{0.2, 0.59, 0.73, 0.84, 0.9}

{0.11, 0.125, 0.14, 0.2, 0.5}

+2

Answers (1)

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Gracelyn · Answer 1

In this problem, the number of workers working on a single project should be inversely proportional to the time needed to finish the project. In this case, the function should be f (x) = 1/2^X. Hence with x equal to {4, 10, 14, 16, 18}, then f (x) is equal to {0.1, 0.4, 0.6, 0.8, 0.9}