Reggie was looking at a map of the school the scale shows that 1 inch equals 150 ft if the distance between his classroom in the cafeteria measures 12 in on the map what is the actual distance​

Respuesta :

Answer:

the actual distance is 1800 ft.

Step-by-step explanation:

Proportion states that the two fractions or ratios are equal.

Let x be the actual distance.

As per the statement:

Reggie was looking at a map of the school the scale shows that 1 inch equals 150 ft.

⇒1 inch = 150 ft.

if the distance between his classroom in the cafeteria measures 12 in on the map.

by definition of proportions we have;

[tex]\frac{1}{150} = \frac{12}{x}[/tex]

By cross multiply we have;

[tex]x = 12 \cdot 150 = 1,800[/tex] ft

Therefore, the actual distance is 1800 ft.

Answer: The actual distance between Reggie's classroom in the cafeteria is 180  feet.

Step-by-step explanation:

Given: The scale of of map of the school shows 1 inch on map = 150 ft

The distance between Reggie's classroom in the cafeteria on map= 12 inch

Therefore, the actual distance between Reggie's classroom in the cafeteria is given by :_

[tex]d=150times12180\ ft[/tex]

Hence, the actual distance between Reggie's classroom in the cafeteria is 180  feet.