Question

a. describe a translation of your walk from school to your house. how many \steps\ up/down and left/right
(-3,-3)
your school
your house
(4,2)

1. the scale on a map is 1 in. : 50 mi. the actual distance between two cities is 350 miles. what is the distance between the cities on the map?

set up a proportion and solve

1. the ratio of the corresponding side lengths of two similar mp3 players is 4:3. the area of the larger mp3 player is 8 square inches. what is the area of the smaller mp3 player?

20
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Explanation:

Step1: Determine the translation

The school is at \((-3,-3)\) and the house is at \((4,2)\).
For the \(x -\)coordinate: \(4-(-3)=4 + 3=7\) (right - direction).
For the \(y -\)coordinate: \(2-(-3)=2 + 3=5\) (up - direction).

Step2: Determine the reflection

The rule for reflection over the \(y -\)axis is \((x,y)\to(-x,y)\).
If the school is at \((-3,-3)\), then after reflection over the \(y -\)axis, the \(x -\)coordinate changes sign. So the coordinates of the pizza parlor are \((3,-3)\).

Answer:

a. \(7\) steps right and \(5\) steps up.
b. \((3,-3)\)