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A hot air balloon descends 42 feet in a matter of 30 seconds. Write an integer to represent the change shown with the hot air balloon.

Answer :

Answer:

1 ft/s

Step-by-step explanation:

Distance traveled = 42 feet

time taken = 30 seconds

Rate of change = Distance traveled / Time taken

= 42/30

= 1.4 ft / s

= 1 ft/s (rounded to closest integer)

The rate of change is represented by   ≈ 1 feet/ second.

What is the meaning of rate of change?

When an object is chnaging with respect to its initial state, changing in terms of weight, height, mass, etc.

Rate of change with respect to time helps in understanding the time effect on the variable.

An Integer is a type of number which includes, positive negative numbers and zero.

The rate of change for an expression is determined by differentiating it with respect to time.

A hot air balloon descends 42 feet in a matter of 30 seconds.

The hot air is at a certain height x and it descends 42 feet.

The time taken by the hot air balloon is 30seconds.

The rate of change is given by the formula =

Change in height / Time taken

Rate of Change = 42 / 30 = 1.4 feet/ second

1.4 is not an integer but the nearest integer to 1.4 is 1 and so the rate of change is  ≈ 1 feet/ second.

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