The resale value of a textbook decreases by 25% with each previous owner. a new textbook is sold for $85. which function represents the resale value of the textbook after x owners? f(x) = 85(1 – 0.25)x f(x) = 85(1 + 0.25)x f(x) = 85(0.25)x f(x) = (85 – 0.25)x

step-by-step explanation:

as the value of textbook is decreasing with each previous owner, so we can represent it by exponential decay function which is given by:

          )

here,

f(x) is the final amount remaining after x years

is the initial amount   of textbook

r is the decreasing rate of textbook in decimal form  

x is the time in years

according to given question,

= $85

r= decreasing rate of textbook = 25% = = 0.25

putting in (1) ,

thus, option (1) is correct.

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.