Average rainfall is collected each year across the country. It Greenfield, the ratio of rainy days to total days is 4:17. During a year, on how many days would you expect no rain (round to the nearest day)? (Use 365 days as a year) Begin by defining a variable (including units). a. b. Set up and solve a proportion.

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**Average Rainfall Analysis**

Average rainfall is collected each year across the country. In Greenfield, the ratio of rainy days to total days is 4:17. During a year, on how many days would you expect no rain (round to the nearest day)? (Use 365 days as a year)

**a. Begin by defining a variable (including units).**

- Let \( x \) be the number of rainy days in a year.

**b. Set up and solve a proportion.**

- The ratio of rainy days to total days is given as \( 4:17 \), meaning for every 17 days, 4 are rainy. Therefore, the proportion is:

\[
\frac{4}{17} = \frac{x}{365}
\]

- Solving for \( x \):

\[
x = \frac{4 \times 365}{17}
\]

- Calculate \( x \):

\[
x \approx 86
\]

Therefore, the expected number of rainy days is approximately 86 days. 

- To find the number of days with no rain:

\[
365 - 86 = 279
\]

Thus, you would expect approximately 279 days with no rain in a year.
Transcribed Image Text:**Average Rainfall Analysis** Average rainfall is collected each year across the country. In Greenfield, the ratio of rainy days to total days is 4:17. During a year, on how many days would you expect no rain (round to the nearest day)? (Use 365 days as a year) **a. Begin by defining a variable (including units).** - Let \( x \) be the number of rainy days in a year. **b. Set up and solve a proportion.** - The ratio of rainy days to total days is given as \( 4:17 \), meaning for every 17 days, 4 are rainy. Therefore, the proportion is: \[ \frac{4}{17} = \frac{x}{365} \] - Solving for \( x \): \[ x = \frac{4 \times 365}{17} \] - Calculate \( x \): \[ x \approx 86 \] Therefore, the expected number of rainy days is approximately 86 days. - To find the number of days with no rain: \[ 365 - 86 = 279 \] Thus, you would expect approximately 279 days with no rain in a year.
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