Answer:
"f(x) = 4(1.02)7x; spreads at a rate of approximately 2% daily"
Step-by-step explanation:
<u>Complete Question:</u>
A virus that initially infected four people is spreading at a rate of 15% each week. The following function represents the weekly spread of the virus: f(x) = 4(1.15)x. Rewrite the function to show how quickly the virus spreads each day and calculate this rate as a percentage.
f(x) = 4(1.15)7x; spreads at a rate of approximately 1.5% daily
f(x) = 4(1.02)7x; spreads at a rate of approximately 2% daily
f(x) = 4(1.157)x; spreads at a rate of approximately 2.66% daily
f(x) = 4(1.02)x; spreads at a rate of approximately 0.2% daily
<u>Solution:</u>
The weekly number of people infected would be:
7 days in a week, so daily number of people infected would be:
To find daily rate, we set these 2 equations equal and solve for r:
That is 0.02*100 = 2% daily
2nd answer choice is right.