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svetoff [14.1K]
2 years ago
10

You need 20 pounds of grass seed to plant grass inside the baseball diamond below. About how many pounds of grass seed

Mathematics
1 answer:
taurus [48]2 years ago
6 0

Answer:

13 pounds of grass.

Step-by-step explanation:

You need 20 pounds of grass seed to plant inside the baseball diamond.

The Baseball Diamond is a square of side = 90 ft

The Softball Diamond is a square of side = 60 ft

The ratio of the size of the Baseball Diamond to that of Softball Diamond is:

90: 60 = 3:2

If 3 represents 20 pounds, then 2 represents;

\frac{2}{3} × 20 = 13.33333333 pounds = 13 pounds (rounded to nearest pound)

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Analysis to obtain the function that models the polulaiton ob bees:

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2) Second year: decrease 5% => 9,000 - 0.05* 9,000 = 9,000 * (1 - 0.05) = 9,000 * 0.95

3) Every year the population decreases 5% => 9,000 * 0.95)^ (number of years)

4) if you call x the number of years, and f(x) the function that represents the number of bees, then: f(x) = 9,000 (0.95)^ x.

Analysis of the statements:

<span>1) The function f(x) = 9,000(1.05)x represents the situation.

FALSE: WE DETERMINED IT IS f(x) = 9,000 (0.95)^x

2) The function f(x) = 9,000(0.95)x represents the situation.

TRUE: THAT IS WHAT WE OBTAINED AS CONCLUSION OF THE PREVIOUS ANALYSIS.

3) After 2 years, the farmer can estimate that there will be about 8,120 bees remaining.

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f(2) = 9,000 * (0.95)^2 = 9,000 * 0,9025 = 8,122

So, the statement is TRUE

4) After 4 years, the farmer can estimate that there will be about 1,800 bees remaining.

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So, the statement is FALSE

5) The domain values, in the context of the situation, are limited to whole numbers.

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6) The range values, in the context of the situation, are limited to whole numbers.

TRUE: THERE CANNOT BE FRACTIONS OF BEES
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