Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what number can you multiply each length on the map by to find the actu…

Question

what number can you multiply each length on the map by to find the actual distance?
1/2
what is the actual distance from oscars campsite to the beach?
empty box mi

Explanation:

Step1: Identify scale - factor concept

The number we multiply map - length by to get actual distance is the scale factor. But we assume a scale where 1 unit on map represents 2 units in real life (since no scale is given and the first option is $\frac{1}{2}$, we assume the reciprocal relationship for the multiplier). So the multiplier is 2.

Step2: Calculate actual distance

The distance from Oscar's campsite to the beach on the map is $2\frac{1}{2}$ inches. To find the actual distance, we multiply the map - distance by the multiplier. First, convert $2\frac{1}{2}$ to an improper fraction: $2\frac{1}{2}=\frac{2\times2 + 1}{2}=\frac{5}{2}$ inches. Then multiply by 2: $\frac{5}{2}\times2 = 5$ miles.

Answer:

The number to multiply each length on the map by is 2.
The actual distance from Oscar's campsite to the beach is 5 mi.