Question

e2) On a map thedistance betweenHouston and Austin is7 cm. The scale on themap is 1 cm = 56 mi.What is the distancebetween the twocities?

Answer 1

392 miles

Step-by-step explanation

Step 1

Hence

you can solve this by using a rule of three

Let x represents the real distance between the cities(blue line), then the proportion is the same

`\begin{gathered} 1\text{ cm }\Rightarrow56\text{ miles} \\ \text{then} \\ 7\text{ cm= x miles} \\ \frac{56\text{ miles}}{1\text{ cm }}=\frac{x\text{ miles}}{7\text{ cm}} \\ x=7\cdot56\text{ miles} \\ x=392\text{ miles} \end{gathered}`

another easy way to understand this, is

if

`\begin{gathered} 1\text{ cm= 56 miles} \\ \text{then},\text{ multiplying both sides by 7} \\ 7\cdot1\text{ cm}=7\cdot56\text{ miles} \\ 7\text{ cm=392 miles} \end{gathered}`

I hope this helps you