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A construction company is building a drainage ditch that is shaped like a "V". The ditch will be 10 feet wide at ground level and 5 feet deep at its lowest point. The depth of the ditch increases at a rate of 1 vertical foot for every 1 horizontal foot out from the lowest point at the center of the ditch .If x is the horizontal distance from the left edge of the ditch, in feet, determine which absolve value function models the ditch's vertical depth below ground level, in feet.
A. f(x) = |x + 5| − 5
B. f(x) = -|x − 5| − 5
C. f(x) = -|x − 5| + 5
D. f(x) = |x − 5| − 5

Respuesta :

The absolve value function that models the ditch's vertical depth below ground level, is B. f(x) = -|x − 5| − 5

How to illustrate the function?

From the information given, it was stated that the ditch will be 5 feet deep at its lowest point. Also, x is the horizontal distance from the left edge of the ditch.

Now, the absolve value function that models the ditch's vertical depth below ground level will start with a (-) sign since it's below ground level. The appropriate function will be f(x) = = -|x − 5| − 5

In conclusion, the correct option is B.

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