Question

As a side gig, Suzie designs and sells custom shirts online. There is a proportional relationship between the number of shirts, x, that Suzie makes and the yards of fabric, y, that she uses.
What is the unit rate in yards of fabric per shirt?

0.2
0.8
1.2
1.25
If Suzie makes 35 shirts, how many yards of fabric will she use?
Write your answer as a whole number or decimal.
yards of fabric

Answer 1

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.

1. **If the unit rate is 0.2:**
\[
y = 0.2x
\]

2. **If the unit rate is 0.8:**
\[
y = 0.8x
\]

3. **If the unit rate is 1.2:**
\[
y = 1.2x
\]

4. **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:

1. **For 0.2:**
\[
y = 0.2 \times 35 = 7 \text{ yards}
\]

2. **For 0.8:**
\[
y = 0.8 \times 35 = 28 \text{ yards}
\]

3. **For 1.2:**
\[
y = 1.2 \times 35 = 42 \text{ yards}
\]

4. **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**.