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ratelena [41]
4 years ago
8

During the school year, each student planted 2 x 10^2 trees as part of a community service project. If there are 3.5 x 10^3 stud

ents in the school, how many trees did they plant in total?

Mathematics
1 answer:
amm18124 years ago
4 0

Answer:

Total number of trees planted =  7\times 10^{5} trees

Step-by-step explanation:

Trees planted by each student = 2\times 10^2

Total number of students = 3.5\times 10^3

Using unitary method to find total number of trees planted by all the students in school.

1 student plants = 2\times 10^2 trees

3.5\times 10^3 student would plant = (2\times 10^2)\times (3.5\times 10^3)

We apply the product rule of exponents to multiply [a^xa^y=a^{x+y}]

⇒ (2\times 3.5)\times(10^2\times 10^3)

⇒ 7\times 10^{2+3}

⇒ 7\times 10^{5} trees

Total number of trees planted =  7\times 10^{5} trees

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Answer:

Bruce's function:

\displaystyle y=\frac{1}{4}x

Felicia's function:

\displaystyle y=\frac{1}{9}x

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Step-by-step explanation:

<u>Functions </u>

We need to compare the area covered by tile of both Bruce and Felicia. We are required to find the function y, the area covered by the number of tiles he used, x.

We know the tiles used by Bruce cover 1/4 of a square foot, this is written as:

\displaystyle y=\frac{1}{4}x

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For example,  

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If we set

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\displaystyle y=\frac{1}{9}x

Testing the constructed function with x=18 and x=27

\displaystyle y=\frac{1}{9}18=2

\displaystyle y=\frac{1}{9}27=3

The function is complete and accurate.

Comparing both functions we see that Bruce's tiles cover more area because

\displaystyle \frac{1}{4}>\frac{1}{9}

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