If an average-sized man with a parachute jumps from an airplane, he will fall 12.5(0.2t − 1) + 19t feet in t seconds. how long will it take him to fall 142 feet? (round your answer to two decimal places.)

It will take to fall

Step-by-step explanation:

We have the data of the function that represents the falling. Let's call this function ''f''. The function ''f'' depends of the time variable ''t''. We can write the function as :

In the function, if we replace the variable ''t'' by any value in seconds it will return the value in feets of how much the average-sized man has fallen for that value of ''t''.

In order to find how long it will take him to fall , we need to replace by 142 and find the value of ''t'' that satisfies the equation.

Working with the function :

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We can't forget in the last step that the unit for time in the function is seconds.

The correct answer is

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