Answer:
12 cm = 21.62 miles
6 cm = 11.04 miles
Step-by-step explanation:
To find the distance, set up a proportion. A proportion is two equal ratios set equal to each other. We form the ratios by using corresponding values. We write a ratio of [tex]\frac{map}{real world}[/tex] and simplify.
We know [tex]\frac{map}{real world}=\frac{0.5in}{2.3 miles}[/tex]. We know the distance on the map is 12 cm and 6 cm whish converts to 4.7 inches and 2.4 inches. We can write [tex]\frac{4.7in}{xmiles}[/tex] and [tex]\frac{2.4in}{xmiles}[/tex]
We set them equal.
[tex]\frac{0.5}{2.3}=\frac{4.7}{x}[/tex]
and
[tex]\frac{0.5}{2.3}=\frac{2.4}{x}[/tex]
To solve each proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.
[tex]2.3(4.7)=0.5(x)\\10.81=0.5x\\\frac{10.81}{0.5}=\frac{0.5x}{0.5} \\21.62 miles=x[/tex]
and
[tex]2.3(2.4)=0.5(x)\\5.52=0.5x\\\frac{5.52}{0.5}=\frac{0.5x}{0.5} \\11.04 miles=x[/tex]
