Question

B. Emily will average 4,240 copies amonth if she has 480 copiesremaining at the end of the year.Emily will have 4,240 copiesremaining at the end of the yearif she averages 480 copies eachmonth.8. The function g(x) = 21,900(0.91)* models the value of a car x years after2010. What is the approximate percent decrease in the value of the carbetween 2010 and 2015?A 9%C. 45%D. 62%B. 38%

Answer 1

Given:

The given function is

`g(x)=21,900(0.91)^x`

g(x) is the value of a car x years after 2010.

Required:

We need to find the approximate per cent decrease in the value of the car

between 2010 and 2015.

Step-by-step explanation:

Substitute x=0 in the given equation to find the value of the car in 2010.

`g(0)=21,900(0.91)^0`
`g(0)=21,900`

Substitute x=5 in the given equation to find the value of the car in 2015.

`g(5)=21,900(0.91)^5`
`g(5)=13666.3`

The approximate per cent decrease in the value of the car

between 2010 and 2015.

`(g(0))/(g(5))*100=(13666.3)/(21900)*100`
`(g(0))/(g(5))*100=62\text{ \%}`

Final answer:

The approximate per cent decrease in the value of the car

between 2010 and 2015 is 62 %.