Question

Jeremy is driving to a friend's house that is 72 miles away from his home. The scale on Jeremy's map is 1/2 inch is equivalent to 8 miles. How far is it on the map from Jeremy's house to his friend's house?

Answer 1

Answer:

Jeremy's house is 4.5 inches far from his friend's house on the map

Step-by-step explanation:

Let us use the ratio method to solve the question

∵ The house of Jeremy's friend is 72 miles away from his home

∴ The actual distance between the two houses is 72 miles

∵ The scale on Jeremy's map is $\frac{1}{2}$ inch is equivalent to 8 miles

∴ Each $\frac{1}{2}$ miles on the map represents actual distance 8 miles

By using the ratio method

→  Map length  :  Actual length

→  inch               :  miles

→  $\frac{1}{2}$                     :  8

→  x                     :  72

By using cross multiplication

∵ x × 8 = $\frac{1}{2}$ × 72

∴ 8 x = 36

- Divide both sides by 8

∴ x = 4.5

x represent the distance between the two houses on the map

Jeremy's house is 4.5 inches far from his friend's house on the map