Fabric Remaining

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Questions and Answers

In the equation $f = -5.2s + 99.7$, what does the coefficient -5.2 represent?

  • The initial amount of fabric Evelyn has.
  • The amount of fabric consumed per shirt. (correct)
  • The number of shirts Evelyn sews.
  • The total amount of fabric Evelyn has left after sewing.

Evelyn starts with 99.7 yards of fabric. If she wants to have exactly 50 yards left, approximately how many shirts can she sew?

  • 20 shirts
  • 10 shirts (correct)
  • 15 shirts
  • 5 shirts

If Evelyn sews 12 shirts, how many yards of fabric will she have left, rounded to the nearest tenth?

  • 47.3 yards
  • 27.3 yards
  • 37.3 yards (correct)
  • 57.3 yards

What does the constant term 99.7 represent in the equation $f = -5.2s + 99.7$?

<p>The initial amount of fabric Evelyn has before sewing any shirts. (C)</p> Signup and view all the answers

If Evelyn has 60 yards of fabric left, how many shirts has she sewn?

<p>Approximately 7 shirts (D)</p> Signup and view all the answers

If Evelyn sews 5 shirts, and then receives 20 more yards of fabric, what is a new equation that represents the amount of fabric she has left, $f$, in terms of the number of additional shirts, $s$, she sews?

<p>$f = -5.2s + 73.7$ (C)</p> Signup and view all the answers

How does the amount of fabric Evelyn has left change as the number of shirts she sews increases?

<p>It decreases by 5.2 yards per shirt. (C)</p> Signup and view all the answers

What is the maximum number of complete shirts Evelyn can sew if she wants to have at least 10 yards of fabric remaining?

<p>17 shirts (D)</p> Signup and view all the answers

Evelyn plans to sew shirts for a craft fair. She wants to ensure she has at least 20 yards of fabric remaining for other projects. What is the domain of the variable $s$ (number of shirts), considering this constraint?

<p>$0 \le s \le 15.3$ (B)</p> Signup and view all the answers

Suppose Evelyn decides to only use half as much fabric per shirt. How would this change the equation $f = -5.2s + 99.7$?

<p>The slope would become -2.6, and the y-intercept remains the same. (C)</p> Signup and view all the answers

Flashcards

What does this equation represent?

f = -5.2s + 99.7, where 'f' is the yards of fabric remaining and 's' is the number of shirts sewn.

What does 's' stand for?

The variable 's' represents the number of shirts sewn.

What does 'f' stand for?

The variable 'f' represents the yards of fabric remaining.

How to calculate remaining fabric?

To determine how much fabric Evelyn has left after sewing 9 shirts, substitute 's' with 9: f = -5.2(9) + 99.7.

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Fabric left after 9 shirts?

Evelyn will have 52.9 yards of fabric left after sewing 9 shirts: f = -5.2(9) + 99.7 = 52.9.

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Study Notes

  • The number of yards of fabric Evelyn has left is related to the number of shirts that she sews.
  • The equation that shows the relationship is f = -5.2s + 99.7
  • The variable s represents the number of shirts Evelyn has sewn.
  • The variable f represents the number of yards of fabric remaining.
  • If Evelyn sews 9 shirts, then she will have 52.9 yards of fabric left.

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