Answered

The number of bacteria in a petri dish is 524 and growing at a rate of 7% every month.


How bacteria will there be in 7 months?




Enter your answer in the box. Round to the nearest whole number.

Verified Answer :

Month 0 = 524
Month 1 = 524 + (524.07) = 560.68
Month 2 = 560.68 +(560.68.07) = 599.9276
Month 3 = 599.9276 +(599.9276.07) = 641.922532
Month 4 = 641.922532 +( 641.922532.07) = 686.8571092
Month 5 = 686.8571092 +(686.8571092.07) = 734.9371068
Month 6 = 734.9371068 +(734.9371068.07) = 786.3827043
Month 7 = 786.3827043 +(786.3827043*.07) = 841.4294936

Round to nearest whole number = 841 bacteria in the petri dish.

Number of bacteria after 7 month is 838 (Approx.)

Given that;

Number of bacteria in dish = 524

Growth rate = 7% = 0.07 per month

Number of month = 7

Find:

Number of bacteria after 7 month

Computation:

Number of bacteria after 7 month = Number of bacteria in dish[1+r]ⁿ

Number of bacteria after 7 month = 524[1+0.07]⁷

Number of bacteria after 7 month = 524[1.07]⁷

Number of bacteria after 7 month = 524[1.6]

Number of bacteria after 7 month = 838 (Approx.)

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