Question

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.
f(x) = 3(1.007)7x; spreads at a rate of approximately 0.7% daily
f(x) = 3(1.05)7x; spreads at a rate of approximately 0.5% daily
f(x) = 3(0.15)x; spreads at a rate of approximately 0.15% daily
f(x) = 3(1.007)x; spreads at a rate of approximately 0.07% daily

Answer 1

Answer:

The answer is A

Step-by-step explanation:

If it includes " The following function represents the weekly spread of the rumor " Weekly so the daily would be 0.5 percent.  Weekly = 7 days

Daily = 1 day 0.7 times 7 = 4.9 add that remaining 1.06 and you have 5 percent each week.

Answer 2

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

We have spreading rate of rumor= 5% each week.

The function represents the weekly spread of the rumor is:

f(x) = 3(1.05)x.  

There are 7 days in a week

So, rate of rumor per day = 5% by 7

$=\frac{\frac{5}{100} }{7} \\=0.07$

The function representing the rumor per day is:

f(x) = 3(1+0.007)x

f(x) = 3(1+0.007)x; spreads at a rate of approximately 0.07% daily

Therefore, the function to show how quickly the rumor spreads each day is:

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

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