It cost a bakery $3.50 to make apple pies that sell for $12 the first day they are baked.
the probability of selling the apple pie the first day is 75%.
if a pie is not sold on the first day, the new price is $8.50
there is a 12% probability of selling it on the second day
if the apple pie does not sell by the end of the second day, it is donated.
what is the approximate expected profit per pie for the bakery on the sale of its apple pie?
a. $6.52
b. $10.02
c. $5.67
d. $9.57

the answer is "add 2y and y"

step-by-step explanation:

you need to collect the like terms first.

answer: c

substitute in the values.

for a:

f(0) = 0 + 9

f(0) = 9

a is a solution.

for b:

f(7) = 14 + 9

f(7) = 23

b is a solution.

for c:

f (3) = 6 + 9

f(3) = 15

c is not a solution. it's supposed to be 14.

for d:

f(2) = 4 + 9

f(2)= 13

d is a solution.

the given growth  function for the length of the fish (cm) is

f(m) = 5(1.07)m = 5.35m

where 

m = months

at the end of the study, the length is 9.19 cm. the  time for conducting the study is determined as

5.35m = 9.19

m = 1.7178 months

part a.

the study was performed over a time period  of about 1.72 months. therefore  the domain for  plotting the function is 0 < = m < = 1.72.

note:

if growth  continues at this rate for up to m months, then the domain would be 0< =m< =m.

part b.

the growth function is a linear function.

when m=0, f=0.

therefore the initial growth is zero, which represents the y-intercept.

part c.

assume that the growth function is valid for 0< =m< =9.

the average rate of change of the function is the slope of the linear function, which is 5.35 cm/month.