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mihalych1998 [28]
2 years ago
15

A scientist counts 35 bacteria present in a culture and finds that the number of bacteria triples each hour. The function y = 35

∙ 3x models the number of bacteria after x hours. Estimate when there will be about 550 bacteria in the culture.
Mathematics
1 answer:
Juliette [100K]2 years ago
3 0

Answer:

<h2>After 5 hours</h2>

Step-by-step explanation:

If a scientist counts 35 bacteria present in a culture and finds that the number of bacteria triples each hour and the function y = 35 ∙ 3x models the number of bacteria after x hours, in order to estimate when there will be about 550 bacteria in the culture we will substitute y = 550 into the modeled equation and calculate the value of x as shown;

If y = 35*3x

when y = 550

550 = 35*3x

Dividing both sides by 35;

550/35 = 35*3x/35

3x = 550/35

x = 550/3*35

x = 550/105

x = 5.24

This means that there will be 550 bacteria in the culture after approximately 5 hours

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Answer:

The speeds of the cars is: 0.625 miles/minute

Step-by-step explanation:

We use systems of equations in two variables to solve this problem.

Recall that the definition of speed (v) is the quotient of the distance traveled divided the time it took : v=\frac{distance}{time}. Notice as well that the speed of both cars is the same, but their times are different because they covered different distances. So if we find the distances they covered, we can easily find what their speed was.

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So this is the speed of both cars: 0.625 miles/minute

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