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PolarNik [594]
3 years ago
14

The population of Dawn land is changing exponentially. This change is modeled by the function f(x) = 60,000(1.01)x . Interpret t

he function to describe how the population changes. Explain how you know.
Mathematics
1 answer:
LiRa [457]3 years ago
5 0

Answer:

The function has an initial population size of 60,000 which increase at a rate of 1%

Step-by-step explanation:

Given the expression :

f(x) = 60,000(1.01)^x

Since 1.01 > 1 (exponential

The general form of an Exponential growth function.

y = p(1 + r)^x

p = 60000 = initial population

1 + r = 1.01 ; where r = growth rate

r = 1.01 - 1 ; r = 0.01 =

r = 0.01 * 100% = 1% growth rate

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2 years ago
I scream for ice cream sells specialty ice cream in three​ flavors: rocky​ road, peanut​ butter, and fruity tooty. it sold​ 17,0
oksian1 [2.3K]
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Find Sales Price of 5 gallons of ice-cream:
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Sales price of Fruity Tooty = $6.00
Sales price of Peanut Butter = $5 x 2 = $10.00
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Total Sales Per 5 gallon = $6 + $10 + $10.50 = $26.50

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Find Variable Cost of 5 gallons of ice-cream:
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Variable Cost of Fruit Tooty = $5.25
Variable Cost of Peanut Butter = $4.50 x 2 = $9.00
Variable Cost of Rocky Road = $4 x 2 = $8.00
Total Variable Coast = $5.25 + $9 + $8 = $22.25

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Fixed Cost Given:
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Fixed Cost = $7500

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Define x:
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Let x be the number of 5 gallons that need to be sold to breakeven:

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Find x:
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26.50x = 7500 + 22.25x

26.50x - 22.25x = 7500

4.25x = 7500

x = 7500 ÷ 4.25

x = 1764.7 (Nearest tenth)

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Find the number of gallons of ice-cream needed:
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Total number of 5 gallons needed = 1764.7

Total gallons needed = 1764.7 x 5 =8823.5

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Answer: I sceam needs to sell 8823.5 gallons of ice cream to break even.
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