Rational expressions: growth of cancer cells  TOPIC_SOLVED

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Rational expressions: growth of cancer cells

Postby ellisw01 on Sat Dec 17, 2011 5:19 am

Im having brain poots on this one

In a cancer research lab, you are observing the growth of cancer cells in two specimens, A & B. Specimen A presently has 2160 cells and specimen B has 1200 cells. After recording data for several days, you later determine that the number of cells in specimen A, N(A), is growing ny the formula:

N(A) = 24t^2 + 588t + 2160

where t is the number of days the specimen is in the test environment. Likewise, the data for specimen B indicates that its number of cells, N(B), is

N(B) = 36t^2 + 780t + 1200

a. Write a rational expression and simplify the ratio of N(A) to N(B). Show any intermediate steps.

b. On which day did the number of cancer cells in specimen B overtake that of specimen A?

c. How many cancer cells had developed in specimen B as of the day you calculated in (b)? Show your calculation and write this number using scientific
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Re: Rational expressions: growth of cancer cells  TOPIC_SOLVED

Postby maggiemagnet on Sat Dec 17, 2011 1:05 pm

ellisw01 wrote:In a cancer research lab, you are observing the growth of cancer cells in two specimens, A & B. Specimen A presently has 2160 cells and specimen B has 1200 cells. After recording data for several days, you later determine that the number of cells in specimen A, N(A), is growing ny the formula:

N(A) = 24t^2 + 588t + 2160

where t is the number of days the specimen is in the test environment. Likewise, the data for specimen B indicates that its number of cells, N(B), is

N(B) = 36t^2 + 780t + 1200

a. Write a rational expression and simplify the ratio of N(A) to N(B). Show any intermediate steps.

Make the ratio N(A)/N(B) and simplify.

ellisw01 wrote:b. On which day did the number of cancer cells in specimen B overtake that of specimen A?

Hint: When the bottom equals the top, the fraction equals 1. Make the equation, and solve.

ellisw01 wrote:c. How many cancer cells had developed in specimen B as of the day you calculated in (b)? Show your calculation and write this number using scientific

Plug your value from (b) into N(B) to get the number you need.
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