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Andrew [12]
3 years ago
6

Dr. Betz, a vet, is running a free rabies clinic. He estimates that it will take him 12 minutes for each animal he treats. Dr. B

etz has already seen 20 animals, the last of which was a shaggy dog. Write an equation for how many minutes Dr. Betz worked. How long did Dr. Betz work at the rabies clinic if he saw 20 more animals after the shaggy dog?
Mathematics
1 answer:
Olin [163]3 years ago
7 0

Answer:

equation: y = 12x

Dr. Betz worked for 8 hours.

Step-by-step explanation:

To write the equation we'll use the form y = mx, where y represents the amount of time the Doctor worked, m is the amount of minutes it takes to treat each animal, and x is how many animals have been treated. We know the value of m is 12, so let's put that into the equation:

y = 12x

Now we have our equation. We can use it to see how long Dr. Betz worked. He treated a total of 40 animals - 20 including the shaggy dog, and 20 after the shaggy dog. let's replace x with 40:

y = 12(40)

Now solve:

y = 480

Dr. Betz worked for 480 minutes. There are 60 minutes in an hour. Divide 480 by 60 to find out how many hours Dr. Betz worked for:

480/60 = 8

Dr. Betz worked for 8 hours.

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Answer:

The weight of the block of ice after 1 day is of 4.81 pounds.

Step-by-step explanation:

Equation for exponential decay:

The equation that models an amount after t hours, subject to exponential decay, is given by:

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This means that A(0) = 10, r = 0.03

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A(t) = A(0)(1 - r)^t

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A(24) = 10(0.97)^{24} = 4.81

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