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RoseWind [281]
3 years ago
14

Steven earns extra money babysitting. He charges $31.25 for 5 hours and $50 for 8 hours.Explain why the relationship between how

much Steven charges and time is a proportional relationship. It goes up 25 cents ever 15 minutesWhat is the constant rate of change?
Mathematics
1 answer:
Elena L [17]3 years ago
7 0

Answer:

Step-by-step explanation:

earns $6.25

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Step-by-step explanation:

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What is the volume of a prism that is 11×13×21?
posledela

Answer:

3003 units^3.

Step-by-step explanation:

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11 * 13 * 21

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A colony of bacteria is grown under ideal conditions in a laboratory so that the population increases exponentially with time. A
Naddik [55]

Answer:

Initial bacterias = 6006000

Altought I believe is safe to assume that the values were 192,000 and 384,000 instead of 192,192,000 and 384,384,000, in that case the initial bacterias is 6000

Step-by-step explanation:

A exponential growth follows this formula:

Bacterias  = C*rⁿ

C the initial amount

r the growth rate

n the number of time intervals

Bacterias (55 hours) = 192,192,000

Bacterias (66 hours) = 384,384,000

Bacterias(55hours)=C*r^{{\frac{55-t}{t}}} \\Bacterias (66hours) = C*r^{\frac{66-t}{t}}}

If you divide both you can get the growth rate:

\frac{Bacterias (66hours)}{Bacterias(55hours)}=\frac{C*r^{\frac{66-t}{t}}}{C*r^{{\frac{55-t}{t}}}} \\\frac{384,384,000}{192,192,000} =r^{\frac{66-t}{t} -\frac{55-t}{t} } \\2 =r^{\frac{11}{t}}

So with that r = 2 and each time interval correspond to 11 years

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7 0
3 years ago
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