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A travel trailer is bought at the price of $35,000. The value decreases at the rate of 0.25 every year (t). The exponential expression [tex]35,000(0.75)^t[/tex] describes this situation.

Find the value of the travel trailer after 5 years.

Answer :

The value of the travel trailer after 5 years is $8306 .

in the question ,

it is given that

the price of the travel trailer(a) = $35000

rate of decrease(r) = 0.25

time (x) = 5 years

The exponential expression for the decrease in price after x years is given by the formula

price = a(1-r)ˣ

where, a is the initial amount ,

r is the decay rate ,

x is the time period .

Substituting the values from above in the formula ,

we get

price = 35000(1-0.25)⁵

= 35000(0.75)⁵

= 8305.664

≈8306

Therefore , the value of the travel trailer after 5 years is $8306 .

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