To determine the unit rate in yards of fabric per shirt, we utilize the relationship given in the problem statement. Let's denote the unit rate as \( k \) (yards of fabric per shirt).
Assuming that the unit rate is one of the values provided: 0.2, 0.8, 1.2, or 1.25, we can analyze what each would imply about the relationship.
Let's break down the calculations for each of the potential unit rates to see which fits logically with the context.
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If the unit rate is 0.2: \[ y = 0.2x \]
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If the unit rate is 0.8: \[ y = 0.8x \]
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If the unit rate is 1.2: \[ y = 1.2x \]
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If the unit rate is 1.25: \[ y = 1.25x \]
If Suzie makes 35 shirts, we can find the total yards of fabric used. We'll calculate it for each of the unit rates:
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For 0.2: \[ y = 0.2 \times 35 = 7 \text{ yards} \]
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For 0.8: \[ y = 0.8 \times 35 = 28 \text{ yards} \]
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For 1.2: \[ y = 1.2 \times 35 = 42 \text{ yards} \]
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For 1.25: \[ y = 1.25 \times 35 = 43.75 \text{ yards} \]
If we were to choose a reasonable unit rate based on typical fabric use, 1.2 yards per shirt could be a standard for custom shirts, particularly if they have a longer sleeve length, for example.
Thus, if we take 1.2 yards per shirt as the unit rate, if Suzie makes 35 shirts, she will use:
\[ \text{Total fabric used} = 1.2 \times 35 = 42 \text{ yards} \]
So, the unit rate is 1.2 yards per shirt and if Suzie makes 35 shirts, she will use 42 yards of fabric.
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