The value of a certain rare book doubles every 10 years The

The value of a certain rare book doubles every 10 years. The book was originally worth $5. How much is the book worth when it is 30 years old? $ How much is the book worth when it is 40 years old? $ Is the relationship between the value of the book and its age linear? Explain. Yes, because the book\'s value increases by the same amount every 10 years. Yes, because the book\'s value does not increase by the same amount every 10 years. No, because the book\'s value increases by the same amount every 10 years. No because the book value does not increase by the same amount every 10 years Additional Materials.

Solution

(a)given, every 10 year value of book is getting double

Let, intial value =a= $5

after 10 year value of book=2a= 2*$5=$10

After 20 year value of book=2*(2a)=2^2a=2^2*$5=$20

After30 year value of book=2*2*(2a)=2^3a=2^3*$5=$40

After40 year value of book=2*2*2*(2a)=2^4a=2^4*$5=$80

(b) from the above relation of book value, relation is not linear

so, No, because the book\'s value does not increase by the same amount every 10 year