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3 years ago

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Suppose you're performing experiments in science class in which you start with 70 bacteria and the amount of bacteria triples ev

ery hour. Write a function to represent the growth of the bacteria overtime in your science experiment

2 answers:

barxatty [35]3 years ago

5 0

1h----------------> 70x3=210 bacteria
2h-----------------> 210*3=630 bactaeria
let be y the number of bacteria at the t=0h
it is y=70 3^0
for t= 1h
y=70*3^1=210
for t=2h
y=70*3^2=630

so we can write y=70*3^x, where x is the number of hour

Brrunno [24]3 years ago

5 0

The function to represent the growth of bacteria will be

a=70*3^b

a is the number of bacteria at time b

b is the number of hour(time)

Explanation:

As per the given information You start your experiment with 70 bacteria,and the bacteria triples in every hour so in

1 hour = 70*3=210 bacteria are formed

2 hour = 210*3=630 bacteria are formed

3 hour=630*3=1,890 bacteria are formed

let a be the number of bacteria at the t=1 hour

if t= 1 hour then

a=70*3^1=210

if t=2 hour then

a=70*3^2=630

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<h3>Further explanation</h3>

Acceleration is rate of change of velocity.

$\large {\boxed {a = \frac{v - u}{t} } }$

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<em>t = time taken ( s )</em>

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<h2>Question A:</h2><h3>First Ball</h3>

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$0 = 19.6 - 14.7t - 4.9t^2$

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$4.9t^2 - 14.7t - 19.6 = 0$

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<h2>Question B:</h2><h3>First Ball</h3>

$v^2 = u^2 - 2gH$

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<h3>Second Ball</h3>

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$h = 19.6 - 14.7(0.5) - \frac{1}{2}(9.8)(0.5)^2$

$\boxed {h = 11.025 ~ m}$

<h3>Second Ball</h3>

$h = H + ut - \frac{1}{2}gt^2$

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$\boxed {h = 25.725 ~ m}$

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Velocity of Runner : brainly.com/question/3813437
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<h3>Answer details</h3>

Grade: High School

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