170k views
3 votes
an industrial comp machine has the ability to reduce image dimensions by a certain percentage each time it copies. A design began with a length of 16 inches, represented by the point (0,16). after going through the comp machine once, the length is 12, represented by the point (1,12). Enter the correct answer in the box by replacing the values of a and b. f(x)=a(b)^x

User Dan Mic
by
8.4k points

1 Answer

3 votes

Answer:

f(x) = 16*0.75^x

Explanation:

first off let's use this coordinate (the one given) :

(0,16)

let's substitute this into the equation with x being 0 and f(x) being 16

16 = a*b^0

*anything to the power of 0 is 1*

so:

a = 16

now use the second coordinate :

(1,12)

and do the same by substituting 1 for x and 12 for f(x), we also know what 'a' is:

12 = 16*b^1

12 = 16 * b

b = 3/4

so :

f(x) = 16*0.75^x

User Pavel Lahoda
by
7.9k points

Related questions

asked Jan 12, 2024 159k views
Ivo P asked Jan 12, 2024
by Ivo P
8.1k points
1 answer
5 votes
159k views
asked Sep 5, 2024 197k views
Triana asked Sep 5, 2024
by Triana
7.9k points
1 answer
1 vote
197k views