Question

1. the graph below represents a map of the distance from blake’s house to the school.

• if each unit on the graph represents 0.75 miles, how many miles is the diagonal path from blake’s house to the school?

Explanation:

Step1: Find horizontal and vertical distances

House is at (1,8), School at (9,2). Horizontal distance: \(9 - 1 = 8\) units. Vertical distance: \(8 - 2 = 6\) units.

Step2: Calculate diagonal units (Pythagorean theorem)

Diagonal units: \(\sqrt{8^2 + 6^2} = \sqrt{64 + 36} = \sqrt{100} = 10\) units.

Step3: Convert units to miles

Each unit is 0.75 miles. Total miles: \(10 \times 0.75 = 7.5\) miles.

Answer:

7.5