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Alex73 [517]
2 years ago
6

Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 8% each week. The following function represents t

he weekly weed growth: f(x) = 86(1.08)x. Rewrite the function to show how quickly the weeds grow each day.
Mathematics
1 answer:
Svetlanka [38]2 years ago
3 0

Answer:

f(x) = 86(1.01)^7x; They grow at approximately the rate of 1% per day.

Step-by-step explanation

86 is the number of weeds at the starting point of the question.

8/7% each day,   7 being the total number of days in the week, the weekly growth 8%:  1 day is 8/7% growth or 1.14% rounded up to 1%

In the original equation the 8% growth was represented by 1.08

Substituting the weekly rate of 8% with the daily rate of 1%, or 1.08 with 1.01 the new function is:

f(x) = 86(1.01)^7x

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