Question
for full credit. Do not forget a label! A map's scale is 1 inch = 60 miles. On the map, the distance between two lakes is 5.5 inches. Write and solve a proportion to fir the actual distance between the lakes.
Ask by Cole Higgins. in the United States
Jan 21,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
**Proportion:**
\[
\frac{1\ \text{inch}}{60\ \text{miles}} = \frac{5.5\ \text{inches}}{x\ \text{miles}}
\]
**Solution:**
\[
x = 5.5 \times 60 = 330\ \text{miles}
\]
**Answer:**
The actual distance between the lakes is **330 miles**.
Solution
**Proportion:**
\[
\frac{1\ \text{inch}}{60\ \text{miles}} = \frac{5.5\ \text{inches}}{x\ \text{miles}}
\]
**Solving for \( x \):**
\[
x = \frac{5.5\ \text{inches} \times 60\ \text{miles}}{1\ \text{inch}} = 330\ \text{miles}
\]
**Answer:**
The actual distance between the lakes is **330 miles**.
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Explain 
Simplify this solution Beyond the Answer
To find the actual distance between the two lakes, we can set up a proportion based on the scale of the map. The scale tells us that 1 inch represents 60 miles. We can represent the distance between the lakes in inches (5.5) and let "d" be the actual distance in miles. The proportion can be set up as follows: \(\frac{1 \text{ inch}}{60 \text{ miles}} = \frac{5.5 \text{ inches}}{d \text{ miles}}\) Now, we solve for d: Cross-multiplying gives us: \(1 \times d = 5.5 \times 60\) Thus: \(d = 330 \text{ miles}\) So, the actual distance between the two lakes is 330 miles! Next time you're planning a trip or hike, keep that map handy—you'll know just how far away those lakes really are!
