Which of the following tables represents a proportional relationship?

a. x 8 16 24 32
y 24 48 72 96

b. x 8 9 10 11
y 24 48 72 96

c. x 32 33 34 35
y 96 72 48 24

d. x 32 36 40 44
y 96 112 128 144

The amount of money, in dollars, in an account after t years is given by a = 1000(1.03)^t. the initial deposit into the account was $_^a0 and the interest rate was _a1% per year. only enter numbers in the boxes. do not include any commas or decimal points^t. the initial deposit into the account was $__^a0 and the interest rate is % per year.

Graph the system: f(x)= 3/x-2; f(x)= 1/2x + 2

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?