Question

15. An electric can opener is worth 38 dollars when it is new. After each year it is worth half what it was the

previous year. What will its worth be after 4 years? Round your answer to the nearest cent.
$4.19
$4.75
b. $1.19
d. $2.38
a.
c.

Answer 1

Answer: d. $2.38

Explanation:

Exponential decay function:
`Ab^x`, where A = initial value

x= Time mperiod

b = multiplicative decay rate

As per given, we have

A = 38 dollars

b= 0.5

Amount after x years :
`38(0.5)^x`

Then, at x= 4

Amount after 4 years :
`38(0.5)^4=38(0.0625)`

`=2.375\approx2.38`

Hence, the worth of electric can opener after 4 years = $2.38.

So, correct option is d. $2.38