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Ber [7]
3 years ago
5

melissa runs a landscaping business. She has equipment and fuel for $343 per month. If she charges $46 for each lawn, how many l

awns must she service to make a profit of at least $800 a month?
Mathematics
1 answer:
dexar [7]3 years ago
8 0
We can find this by creating a function to represent how many lawns she's mowed. 


f(x) = 46x - 343

The 46x represents the profit of 46 dollars per month for each lawn mowed and the -343 is the cost of fuel per month to remove it from profit. We now need to set this function to 800, and solve for x.

800 = 46x - 343
1143 = 46x
25.58 = x

Because she can't mow part of a lawn, we need to round to a whole number. Our options are to round down to 25 or round up to 26. Lets start with the lower number first, and see if the profit for that many lawns is over 800.

f(25) = 46(25) - 343
f(25) = 1150 - 343
f(25) = 807

Because 25 is over 800 dollars, we don't need to calculate 26. Therefore, she needs to mow at least 25 lawns to make a profit of at least 800 dollars a month.
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Answer:

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Complete question:

While making oatmeal cookies, Angela needs to add 1/2 cup of milk to her dough. However, she has only a 1/4-cup measuring cup. How many times does she need to fill the measuring cup to pour 1/2 cup of milk? The number of times Angela needs to fill the 1/4-cup measuring cup to pour 1/2 cup of milk is?

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Number of cups Angela needs to add to her dough = 1/2 cup of milk

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To determine the number of times she needs to fill the measuring cup to pour 1/2 cup of milk, we would divide the 1/2 cup of milk by 1/4-cup measuring cup

= ½ ÷ ¼

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Angela would need to fill 2 times

Therefore, the number of times Angela needs to fill the 1/4-cup measuring cup to pour 1/2 cup of milk is 2

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