Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 18% each week. The following function represents the weekly weed growth: f (x) = 86 (1.18) x. Rewrite the function to show how quickly the weeds grow each day.

Question

Mathematics

Austin Webster

29 March, 08:51

Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 18% each week. The following function represents the weekly weed growth: f (x) = 86 (1.18) x. Rewrite the function to show how quickly the weeds grow each day.

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Answers (1)

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Mercedes Guerrero · Answer 1

f (z) = 86. (0.169) z

Step-by-step explanation:

Let's call

x = number of weeks z = number of days

We have the growing function f (x) = 86. (1.18) x. If we want to write f in terms of z, we need to consider that x = z/7, since there are 7 days in each week. Then,

86. (1.18) x = 86. (1.18) z/7 = 86. (0.169) z

f (z) = 86. (0.169) z