Which situation cannot be represented by this equation? -1\4x + 14 = 8
a) a hot-air balloon has a 14-foot diameter that each 1\4 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?
b)a hot-air balloon has a 14-foot diameter that is getting smaller at a rate of 1\4 foot per minute. how many minutes, x, will it take before the balloon has shrunk to a diameter of 8 feet?
c)a hot-air balloon has an 8-foot diameter that is changing at a rate of 1\4 foot per minute. how long in minutes, x, will it take until the balloon has a diameter of 14 feet?

Situation (C) cannot be represent by the given equation.

Step-by-step explanation:

In (A), the balloon shrinks at the rate x. So, each 1/4 of an hour, its diameter reduces by the amount 1/4x.

So, it correctly represents the given equation.

In (B), the diameter reduces to 1/4 every minute.

So, in x minutes the amount reduced = 1/4x.

So, it also correctly represents the given equation.

In (C), the diameter reduces to 1/4 foot per minute but its original measurement is 8 foot and we are asked to find the expression when it is 14 feet.

So, the correct equation for this situation is 1/4x + 8 = 14.

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x