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Kwame bought a car for $25,000. The value of the car is decreasing at a rate of 6.5% each year. Write a function that represents the price P of the car after x years. Note: use parentheses around the rate

Respuesta :

The function that represents the price P of the car after x years is:

[tex]P = 25000(0.935)^x[/tex]

Solution:

The decreasing function is given as:

[tex]y = a(1 - r)^t[/tex]

Where,

y is future value

a is initial value

r is decreasing rate in decimal

t is time period

From given,

a = 25000

[tex]r = 6.5 \% = \frac{6.5}{100} = 0.065[/tex]

number of years = x

future value = P

Therefore,

[tex]P = 25000(1 - 0.065)^x\\\\P = 25000(0.935)^x[/tex]

Thus the function is found

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