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tigry1 [53]
3 years ago
9

What is the solution to this number sentence? y+ 3 1/3=8

Mathematics
1 answer:
ivanzaharov [21]3 years ago
3 0
Anwser: 4 2/3
Step 1: Reformat Y = 8 - 3 1/3
Step 2: Solve Y = 4 2/3
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Layla and Sam are both dog sitters. Layla charges $2 per day plus a sign-up fee of $3. Sam charges a flat rate of $3 per day. Th
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Givens

  • Layla charges $2 per day, plus a sign-up fee of $3. Notice the sign-up fee represents a fixed value, that's gonna be the constant form of the function. And $2 is the ratio of change of the function, because it a cost per day.
  • Sam charges $3 per day, without extra fee. So, the ratio of change of this function is $3, and it doesn't have a constant term.

According to the given information, the linear function for Layla is:

f(x)=2x+3

Notice that the constant ratio of change is coefficient of the independent variable, that is, because that variable represents days, and each charges $2.

On the other hand, the linear function for Sam is:

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Now, to find the number of days needed to both Layla and Sam earn the same money, we just have to solve the equation f(x)=g(x)

2x+3=3x\\3=3x-2x\\x=3

Therefore, on day three they are gonna earn the same amount of money.

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