y Spi Life Equilibria Problem 6 User Settings Grades Problems Problem 1 Problem
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y Spi Life Equilibria Problem 6 User Settings Grades Problems Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 math csudh.edu/web webwork2/15Spring MAT171 Jennings/Cho teGrowthDrugs Equilibria/6/?use Reader Page 13 The B WeBWork 15 g MAT171 Jennings Ch01.04-07DiscreteGrowthDrugsHalf-LifeEquilibria 6 ry 30 y Spi Previous Problem List Next (1 point) NThis is roughly based on Exercise 5.5 in Calculus for the Life Sciences: a Modeling Approach by Cornette and Ackerman, but all the data in this problem are fake. A mold colony on the surface of a mixture of tea and sugar has a circular shape. The radius of the circle increases as the mold grows Here is a record of its radius over a seven-day period, starting on day 0 and ending on day 6. T measures the number of days since the mold was first noticed, RT is its radius in milimeters on day T. The table also shows how much the radius increases each day. day Tradius RT change RT 1 RT 1.2 0.55 1.2 1.75 1.2 2.95 4.15 1.2 1.2 5.35 5 6.55 1.2 .75 1.2 The data indicate that the radius increases by exactly the same amount each day. (Real data rarely are that nice! Based on this observation a predict what R15 should be R15 8.55 mm b find a formula that predicts the radius after 1 days, where Tis arbitrary. 1 should be the only variable in your formula. mm c) find a formula that predicts the area AT of the circle of mold after T days. d Suppose there are 233 mold cells per square millimeter in the colony. Find a formula that predicts the number MT of mold cells in the colony after T days MT cells OExplanation / Answer
a) d = common difference = 1.2
R15 = 0.55 + 1.2*15
R15 = 0.55 + 18
R15 = 18.55
b) Rt = 0.55 + 1.2*T ---> SECOND ANSWER
c)
At = pi * (Rt)^2
At = pi * (0.55 + 1.2*T)^2 --> THIRD ANSWER
d)
Mt = 233 * At
Mt = 233 * pi * (0.55 + 1.2*T)^2 ---> FOURTH ANSWER
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