Answer:
(a). 15
(b). 78
Step-by-step explanation:
Growth of the population of a fruit fly is modeled by
N(t) =
where t = number of days from the beginning of the experiment.
(a). For t = 0 [Initial population]
N(0) =
=
=
= 15
Initial population of the fruit flies were 15.
(b).Population of the fruit fly colony on 11th day.
N(11) =
=
=
=
=
= 77.82
≈ 78
On 11th day number of fruit flies colony were 78.
c=number of crossings; Q=quarterly pass; S=semi-annual pass; P=pay as you go
P=$2.50c
Q=$12+$0.50c
S=$40
Compare single pay and quarterly ticket:
$2.50c=$12+$0.50c Subtract $0.50c from each side
$2.00c=$12 Divide each side by $2.
c=6 6 crossings is the break even for single pay and quarterly ticket: more crossings favor the ticket.
Compare quarterly and semi-annual tickets:
3 month pro-rated cost of semi annual ticket=$20
$20=$12+$0.50c Subtract 12 from each side
$8=$0.50c Divide each side by $0.50
16=c The break=even point between quarterly and semi annual tickets is 16 crossings per 3 months. More than this favors the semi annual ticket.
ANSWER: The three month pass is the best deal if you cross between 6 and 16 times during the three month period.
I hope this help you
Answer: Subtract y from both sides of the equation.
x=12-y
x-y=2
230
because 5x23 is 115 x 2 which is 230