Question

extra credit:

1. show work:
2. a map has a scale of 1 cm : 18 km. if lake superior is 563 km in real life, what is its length on the map?

the map is
10134 in
length

Explanation:

Step1: Set up proportion

Let $x$ = map length (cm).
$$\frac{1\ \text{cm}}{18\ \text{km}} = \frac{x}{563\ \text{km}}$$

Step2: Solve for $x$

Cross-multiply to isolate $x$:
$$x = \frac{563}{18}$$

Step3: Calculate the value

$$x \approx 31.28$$

Answer:

The length of Lake Superior on the map is approximately $\boldsymbol{31.28\ \text{cm}}$ (or exactly $\boldsymbol{\frac{563}{18}\ \text{cm}}$).