thomas started a lawn-mowing business in Florida, in which he has x lawns on his route. his costs are $6 per lawn for fertilizer and $14 per lawn for labor. a) if he charges $25 per lawn, write a polynomial that represents his weekly profit. b) if thomas mows 40 lawns in a week, what is his weekly profit? c) if thomas mows 40 lawns per week, what is his annual profit?

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Mathematics

27 February, 07:35

thomas started a lawn-mowing business in Florida, in which he has x lawns on his route. his costs are $6 per lawn for fertilizer and $14 per lawn for labor. a) if he charges $25 per lawn, write a polynomial that represents his weekly profit. b) if thomas mows 40 lawns in a week, what is his weekly profit? c) if thomas mows 40 lawns per week, what is his annual profit?

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Karlee Stout · Answer 1

Number of lawn mowing = x.

His cost per lawn for fertilizer = $6.

His cost per lawn for labor = $14.

Total cost per lawn for fertilizer and per lawn for labor for him = 6+14 = $20.

He charges = $25 per lawn.

So, profit per lawn = 25 - 20 = $5.

Therefore, for mowing x number lawn could be represented by polynomial that represents his weekly profit.

a) P (x) = 5x.

b) For mowing 40 lawns per week total profit would be

P (40) = 5 (40) = $200.

c) Number of weeks an year = 52.

Therefore,

Annual profit is 52 * 200 = $10400.