Question

1: A bag contains 10 white golf balls and 6 striped golf balls. A golfer wants to add 122 golf balls to the bag. He wants the ratio of white to striped gold balls to remain the same. how many of each should he add?
2: The coordinates of quadrilateral VWXY are given below. Find the coordinates of its image after a dilation with the given scale factor. V(6,2) W(-2, 4) X(-3, -2) Y(3,-5)

Answer 1

Part A:

Given that a bag contains 10 white golf balls and 6 striped golf balls, the ratio of white to striped golf balls is 10 : 6 = 5 : 3.

Given that a golfer wants to add 122 golf balls to the bag, the of balls each he should add is given by:

$5\left( \frac{122}{5+3} \right) \ : \ 3\left( \frac{122}{5+3} \right)=5\left( \frac{122}{8} \right) \ : \ 3\left( \frac{122}{8} \right) \\ \\ =5(15.25) \ : \ 3(15.25)=76.25 \ : \ 45.75 \\ \\ \approx76:46$

Therefore, the golfer shold add 76 white golf balls and 46 striped golf balls.



Part B.

You did not indicate the scale factor.

Assuming the scale factor is given by D(o, k) where k can be any number, then the cordinate of the coordinates of the image of the quadrilateral VWXY are given by:

V'(6k, 2k), W(-2k, 4k), X(-3k, -2k), Y(3k,-5k)

That is you multiply the scale factor to the coordinates of the preimage to get the coordinates of the image.