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Dmitrij [34]
3 years ago
15

(Need help ASAP) In a research experiment, the population of a colony of bacteria doubles every hour. The population, f(x), of t

he colony after x hours can be modeled by the function f(x)=25 ⋅ 2x. What values for the domain are reasonable in the given context?
1. all real numbers



2. all real numbers greater than 0



3. all real numbers greater than or equal to 0



4. all real numbers greater than or equal to 25
Mathematics
1 answer:
marusya05 [52]3 years ago
6 0

Answer:

Step-by-step explanation:

The answer is 3

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Think of the equation of a linear function:  
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Now that we know how the shifts occur, we might consider a different form of the equation for a linear function:  y = a(x - h) + k  here the 'a' is just our slope, 'k' is our original y intercept, and 'h' will represent the amount of horizontal shift.  

So to get the desired transformations of a horizontal shift to the left of 8 and a vertical shift of down 3 from our original function y = x, we can make the following changes:   y = (x + 8) - 3  Now you might be confused with how we got the 'x + 8'..   Let's consider values of 'h'.  For positive values of h, the result will be a shift to the right and for negative values of h the result will be a shift to the left.  So since we want a shift to the left we need to use a '-8' and when we substitute that into our new form, y = (x - h) + k you can see the sign change.  

Now we can simplify of course and get the final equation: y = x + 5 or in function form f(x) = x + 5
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