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EastWind [94]
3 years ago
11

Anyone can help me with this

Mathematics
1 answer:
uysha [10]3 years ago
5 0

Answer:

y = - 6x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 6, hence

y = - 6x + c ← is the partial equation

To find c substitute (- 1, 7) into the partial equation

7 = 6 + c ⇒ c = 7 - 6 = 1

y = - 6x + 1 ← equation of line



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a) Initial number of bacteria is the coefficient, that is, 250. And the growth rate is the coefficient besides “t”: 0.15. It’s rate of growth because of its positive sign; when it’s negative, it’s taken as rate of decay.

Another way to see that is the following:

Initial number of bacteria is N(0), which implies t=0. And N(0)=N_0. The process is:

N(t)=250 e^{0.15t}\\N(0)=250 e^{0.15(0)}\\ N_0=250e^{0}\\N_0=250\cdot1\\ N_0=250

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