Question

Which situation CANNOT be represented by this equation? −14x+14=8

A hot-air balloon has a 14-foot diameter that each 14 of an hour gets steadily smaller.At what rate, x, does the balloon have to shrink per hour before it has shrunk to a diameter of 8 feet?


A hot-air balloon has a 14-foot diameter that is getting smaller at a rate of 14 foot per minute. How many minutes, x, will it take before the balloon has shrunk to a diameter of 8 feet?


A hot-air balloon has an 8-foot diameter that is changing at a rate of 14 foot per minute. How long in minutes, x, will it take until the balloon has a diameter of 14 feet?

Answer 1

The third option is the answer.

Explanation:

`-14x+14=8`

A hot-air balloon has an 8-foot diameter that is changing at a rate of 14 foot per minute. How long in minutes, x, will it take until the balloon has a diameter of 14 feet?

The equation in this case will be :
`8-14x= 14`

Answer 2

-14x + 14 = 8

A hot-air balloon has an 8-foot diameter that is changing at a rate of 14 foot per minute. How long in minutes, x, will it take until the balloon has a diameter of 14 feet?

We observe that when we clear x we have:
-14x = 14-8
-14x = 6
Which means that the balloon will not reach a diameter of 14 feet