Study Island Question

Question

Stephanie has two bottles of liquid that she is going to pour down the drain. One bottle contains regular soda and the other bottle contains diet soda. The amount remaining in the regular soda bottle after x seconds can be modeled by the expression 80 - 3x.The amount remaining in the diet soda bottle after x seconds can be modeled by the expression 160 - 8x.

Which graph represents the time when the amount remaining in the diet soda bottle is less than the amount remaining in the regular soda bottle?



Answer 1

80 - 3x > 160 - 8x

80 - 3x + 8x > 160 - 8x + 8x

80 + 5x > 160

80 + 5x - 80 > 160 - 80

5x > 80

x>16

after 16 seconds