Question

Jeremy bought a new truck for $32,000. The value of the truck after t years can be represented by the formula V = 32,000(.8)t. When will the truck be worth approximately $6700?

Answer 1

The truck Jeremy bought new was $32,000. The value of the truck after T years can be represented by the formula V=32,000 (.8)T. The truck will be worth approximately $6,700 in 8 years.

Answer 2

Answer: After 7 years the truck will be worth of $6700.

Step-by-step explanation:

Since we have given that

Value of a new truck that Jeremy bought = $32000

The value of the truck after t years can be represented by the formula

$V=32000(0.8)^t$

We need to find the number of years after which the worth of truck will be $6700.

According to question,

$6700=32000(0.8)^t\\\\\frac{6700}{32000}=0.8^t\\\\0.21=0.8^t\\\\\text{ Taking Logarithm on both the sides}\\\\\log(0.21)=t\log(0.8)\\\\\frac{\log(0.21)}{\log(0.80}=t\\\\6.99=t\\\\7\ years=t$

So, after 7 years the truck will be worth of $6700.