Question 1

A silver weather balloon is released from a height of 10 feet and rises at a rate of 8 feet per second. A black weather balloon is released from a height of 50 feet and rises at a rate of 3 feet per second. Which equation can be used to find how long, in seconds, it takes for the two balloons to be at the same height?

Accepted Answer

8x + 10 = 3x +50

Answer

50 - 3x = 10 - 8x

Answer

10x - 8 = 50x - 3

Answer

10x +8 = 50x + 3

Question 2

Dani is comparing the cost of texting for different model phone plans. Plan A charges $10 each month plus $0.10 per text message. Her current plan charges $5 per month and $0.20 per text message. Which inequality can Dani use to find the number of text messages for which her current plan is less expensive than Plan A for one month?

Accepted Answer

10 + .1x >5 + .2x

Answer

10 + .1x  < 5 + .2x

Answer

.1x + 5 > .2x + 10

Answer

10x + .1 < 5x + .2

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