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When reading a map, if 1 inch = 50 miles, how many miles is 4.5 inches?

Use a proportion to solve this problem.

Blank 1: [Your answer]

The correct unit is Blank 2: miles.

Sagot :

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]