Question

Each unit on the map represents 5 miles. If you drive 20% of the way from Landview to Seaside, how many miles have you driven, and in which quadrant would you be on the map?

a. 10 miles, quadrant II
b. 6 miles, quadrant II
c. 6 miles, quadrant III
d. 1.2 miles, quadrant III

Answer 1

i got answer c as well

Answer 2

We use the distance formula for this problem.

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

The distance between point (-2,-2) and point (-2,4).
d = √[(⁻2 - ⁻2)² + (4 - ⁻2)²] = 6 units

Then, compute for 20% of 6 units:
Distance traveled = 6(0.2) = 1.2 units

Use 1.2 units as distance and the starting point (-2,-2). The x-coordinate should still be at -2 because the distance is a straight line as shown in the picture.
1.2 = √[(-2 - ⁻2)² + (y - ⁻2)²]
Solving for y,
y = -0.8

The point is found at (-2,-0.8). This is located at quadrant 3. As to the distance traveled, that would be: 1.2*6 = 6 miles. Thus, the answer is C.