The equation of the Damari's investment is B(x) = 30000 * 1.03ˣ
Sky's family should take the offer of $5000 for the boatThe rule of the function is f(x) = 8 * 0.6ˣCalculating the equations of the functionsDamari's investment
Given that
Initial value, a = 30000
B(3) = 32306.72
The function is calculated as
B(x) = a * bˣ
Using B(3), we have
30000 * b³ = 32306.72
So, we have
b³ = 1.077
Take the cube root of both sides
b = 1.03
So, we have
B(x) = 30000 * 1.03ˣ
So, the function is B(x) = 30000 * 1.03ˣ
The boat of Sky's family
Here, we have
Initial value = 6000
Rate of depreciation = 6%
So, the function is
f(x) = 6000 * (1 - 6%)ˣ
So, we have
f(x) = 6000 * (0.94)ˣ
In 2024, we have
x = 2024 - 2021
x = 3
So, we have
f(3) = 6000 * (0.94)³
Evaluate
f(3) = 4983.50
This value is less than the offered value of $5000
This means that Sky's family should take the offer
The rule of the function
Here, we have the graph
From the graph, we have
Initial value, a = 8
Rate, b = 4.8/8
So, we have
Rate, b = 0.6
So, the function is
f(x) = 8 * 0.6ˣ
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