Posting this again because no one answered

A rumor that was told initially to three people is spreading at a rate of 5% each week. The following function represents the weekly spread of the rumor: f (x) = 3 (1.05) x. Rewrite the function to show how quickly the rumor spreads each day and calculate this rate as a percentage.

A) f (x) = 3 (1.007) 7x; spreads at a rate of approximately 0.7% daily

B) f (x) = 3 (1.05) 7x; spreads at a rate of approximately 0.5% daily

C) f (x) = 3 (0.15) x; spreads at a rate of approximately 0.15% daily

D) f (x) = 3 (1.007) x; spreads at a rate of approximately 0.07% daily

Question

Mathematics

Esther

19 August, 00:43

Posting this again because no one answered

A rumor that was told initially to three people is spreading at a rate of 5% each week. The following function represents the weekly spread of the rumor: f (x) = 3 (1.05) x. Rewrite the function to show how quickly the rumor spreads each day and calculate this rate as a percentage.

A) f (x) = 3 (1.007) 7x; spreads at a rate of approximately 0.7% daily

B) f (x) = 3 (1.05) 7x; spreads at a rate of approximately 0.5% daily

C) f (x) = 3 (0.15) x; spreads at a rate of approximately 0.15% daily

D) f (x) = 3 (1.007) x; spreads at a rate of approximately 0.07% daily

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Answers (1)

Know the Answer?

Denise Hanson · Answer 1

I think D would make the most sense here

Step-by-step explanation:

If it's spreading 5% each week, that means it has to be a smaller amount each day ... like it couldn't spread 15% in a day because that's already over 5% for the whole week