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Dvinal [7]
3 years ago
11

Jaquez earns money by doing yard work. It takes her an average of 3 hours to pull weeds and an average of 2.5 hours to mow the l

awn. She can work no more than 8 hours a day. She charges $50 to weed and $65 to mow the lawn. She needs to cover her expenses of $120 to make a profit. Write a system of inequalities that would help determine how many flowerbeds and lawns he could complete on a given day. (Note – you do not need to solve, just write the system and label the variables you use).

Mathematics
1 answer:
vodomira [7]3 years ago
4 0

Answer:

Step-by-step explanation:

Let x = number of hours to pull weed in a day

Let y = number of hours to now lawn in a day

It takes her an average of 3 hours to pull weeds and an average of 2.5 hours to mow the lawn. She can work no more than 8 hours a day.

This means

3x + 2.5y is lesser than/ equal to 8

She charges $50 to weed and $65 to mow the lawn.

This means she charges

50x +65y

She needs to cover her expenses of $120 to make a profit. This means she needs to earn an amount greater than or equal to $120

50x + 65y greater than or equal to 120

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The extreme values of the function f(x) = x - 4sqrt(x) occur at the values of x for which f'(x) = 0

f'(x) = 1 - 2/sqrt(x) = 0
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To check for minimum or maximum,
f''(x) = 1/(sqrt(x))^3 = 1/(sqrt(4))^3 = 1/(2^3) = 1/8 => the point is a minimum.

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Answer:

Step-by-step explanation:

Given

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