Fido did not have fleas when his owners took him to the kenn

Fido did not have fleas when his owners took him to the kennel. The number of fleas on Fido after he returned from the kennel grew according to the equation f = 8(3\"), where f is the number of fleas and n is the number of weeks since he returned from the kennel. (Fido left the kennel at week 0.) How many fleas did Fido pick up at the kennel? Is the relationship represented by the equation an exponential function? If so, what is the growth factor for the number of fleas? How many fleas will Fido have after 10 weeks if they are untreated?

Solution

a. The number of fleas ( f ) on Fido, n weeks after return from the kennel are given by f = 8(3ⁿ). The number of fleas picked up by Fido at the kennel are f = 8(3⁰) = 8.

b.Yes, the relationship represented by f =  8(3ⁿ) is an exponential functiion.The growth factor for the no. of fleas is 3.

c.. The no. of fleas that Fido will have after 10 weeks, if untreated is 8* 3¹⁰ = 8*59049= 472392.