So if talking about points on a graph then a. x is made negative or opposite of what it is basically, the x point would go x units from the zero line in the other way it is currently ie. reflected across the x axis
b. both x and y are positive, basically the figure would be reflected across the x axis then reflected across the y axis (or y axis then x, doesn't matter)
c. y times 2 y is 2 times as high (gets bigger)
d. 2/3 times x x is 2/3 as much as it was before (gets smaller)
e. 1/2 x and 1.5 y x get's half smaller and y gets 1.5 bigger (x gets smaller, y gets bigger)
If we want our ratio to stay the same (3 to 5), we'll need to pair a set of 3 blue tacks with every set of 5 red tacks. In a group of 50, we can make 10 groups of 5 red tacks, so we'll also need 10 groups of 3 blue tacks, which gives us a total of 30 blue tacks