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The problem asks how many minutes it will take Shelby to knit a 30-inch scarf, knowing that she takes 15 minutes to knit 5 inches.

This is a proportion problem. We can set up a ratio to solve it:

\[
\frac{15 \, \text{minutes}}{5 \, \text{inches}} = \frac{x \, \text{minutes}}{30 \, \text{inches}}
\]

Now solve for \(x\), the time it will take her to knit the entire 30-inch scarf:

\[
x = \frac{15 \times 30}{5} = 90 \, \text{minutes}
\]

So, it will take Shelby **90 minutes** to knit the 30-inch scarf.

Do you need any further explanation? Here are some related questions to consider:

1. How would the time change if Shelby decided to knit a scarf that was 50 inches long?
2. What is Shelby's knitting speed in inches per minute?
3. How long would it take Shelby to knit a scarf twice as long as 30 inches?
4. If Shelby took 20 minutes to knit 5 inches, how would that affect the total time?
5. Can this proportion method be used for tasks other than knitting?

**Tip:** When working with proportions, always set up ratios so that the units match on both sides of the equation!

Shelby loves to knit scarves. Normally, it takes her 15 minutes to knit 5 inches of a scarf. She plans to make a scarf that is 30 inches long. If she knits at the same rate, how many minutes will it take Shelby to knit the scarf?

Learn how to solve a proportion problem by calculating the time it takes to knit a 30-inch scarf, based on the rate of knitting 5 inches in 15 minutes. This problem uses ratio and proportion concepts, suitable for Grades 6-8.

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