~Z.

Sickly Sid has contracted a serious infection and has gone to the doctor for help. The doctor takes a blood sample and finds 900 bacteria per cc (cubic centimeter) and gives Sid a shot of strong antibiotic. The bacteria will continue to grow for a period of time, reach a peak, and then decrease as the medication succeeds in overcoming the infection. After ten days, the infection has grown to 1600 bacteria per cc. After 15 days it has grown to 1875.

a. Name 3 data points given in the problem statement.

b. Make a rough sketch that will show the number of bacteria per cc over time.

c. Find the equation of the parabola that contains the three data points.

d. Based on the equation, how long will it take until the bacteria are eliminated?

e. Based on the equation, how long had Sid been infected before he went to the doctor?

What I have so far and I'm not so sure about:

a. 3 data points:

900 bacteria/cc

1600 bacteria after 10 days

1875 bacteria after another 15 days =>3475 bacteria in 25 days.

b. Bell curve graph with 0 =>900 => 1600 => 1875=> 3475 => and then gradually back down to 0

X-axis = days

Y-axis = number of bacteria

c., d,. e., erm...not quite there yet.

My math teacher suggested using a system of equations to solve this.

(This is only extra credit, not actual homework)

...if the speed of the boat remains constant?

1 mph

2 mph

3 mph

4 mph

...flash together and 9 a.m., what is the next time they will flash together?

no spam please. ^_^;

...ised to pay the fairy $20 after each crossing. The bunny agreed, but after three crossings there was $20 with which to pay the fairy, and bunny was left with no money. How much did the bunny have the start?

No jokes please. ^^;

In other words, what is the population in Nevada?