A population of bacteria grows exponentially. A population thatinitially consists of 10,000 bacteria grows to 25,000 bacteria after 2 hours. a.Use the exponential growth function, P(t)=P0ekt, to find the value ofk. Then write a function for this population of bacteria in terms of time, t.Round the value ofktothe nearest hundredth. b.How many bacteria will the population consist of after 12 hours, rounded to the nearest hundred thousand?c. How many bacteria will the population consist of after 24 hours?

y= 2x+7

changed to y= 5x +7

as slope is increased from 2 to 5

therefore it would be less steeper

so, option d) is correct

yes, gavin is right.

step-by-step explanation:

gavin is correct. 

this problem is about converting 9% per year to how many percent per quarter. the rate is still the same. it only differed in the time period. so, through dimensional analysis,

9% per year  × (1 year / 4 quarters) = 2.25% per quarter

if he was asked to convert 9% per year to how many percent per quarter  compounded quarterly, then you will not simply divide by four. this is because compounding is not linear.

hope this , have a good day. c;

hello,

as we don't know if g(x) is continue,

answer b

f(x)=2x²-8x+1=2(x²-4x+4)+1-8=2(x-2)²-7

vertex is (2,-7) ( a minimum since coefficient of x² is > 0)

emily solved for a part when she should have solved for the whole. 875,000 should be the numerator of the equivalent ratio. 70 x 12,500 is 875,000. so the answer is 100 x 12,500 which is 1,250,000.