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Tom [10]
3 years ago
11

Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus $6 sign, for each hour of work.

Her total fee for a 4-hour job, for instance, is $32. Let F(t), denote Carolina's fee for a single job F (measured in dollars) as a function of the number of hours t it took her to complete it. Write the function's formula.
Mathematics
2 answers:
Shkiper50 [21]3 years ago
8 0

ya the answ is good to hear ok bye t

alisha [4.7K]3 years ago
7 0

Answer: F(t) = 8 + 6t

Step-by-step explanation:

Hi to answer this question we have to write an equation analyzing the information given:

  • <em>Initial fee: x </em>
  • <em>Hours of work: t </em>
  • <em>Price per hour: $6 </em>

So, if he earned $32 for a 4 hour job, the expression will be:

x + (6x4)=32

Solving for x

x + 24 =32

x =32-24

x= 8

The initial fee is $8.

In conclusion, the function's formula for a fee for a single job F will be:

F(t) = 8 + 6t

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Explanation:

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An even number means, like if a number was represented by number of people, everyone would have a partner.

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In this model, there is a leftover person in each of the groups. These people find a partner from another group. Since there are an even number of groups, there is an even number of leftover people. Then they all find a partner. Therefore it's an even number.

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