To solve the problem wherein 1 inch on a map equals 50 miles in reality and we need to find out how many miles 4.5 inches on the map represent, we can use a proportion.
Step-by-step, here’s how we solve it:
1. Set up the proportion: We know that 1 inch on the map equals 50 miles in reality. This can be written as a ratio:
[tex]\[
\frac{1 \text{ inch}}{50 \text{ miles}}
\][/tex]
We need to find out how many miles (let’s call it [tex]\( x \)[/tex]) are represented by 4.5 inches on the map. So, we set up the proportion:
[tex]\[
\frac{1 \text{ inch}}{50 \text{ miles}} = \frac{4.5 \text{ inches}}{x \text{ miles}}
\][/tex]
2. Cross-multiply to solve for [tex]\( x \)[/tex]:
[tex]\[
1 \times x = 50 \times 4.5
\][/tex]
Simplifying the right side:
[tex]\[
x = 225.0
\][/tex]
So, the correct answer is:
Blank 1: [tex]\( \text{225.0} \)[/tex]
The correct unit is:
Blank 2: [tex]\( \text{miles} \)[/tex]
