Question

James started walking away from his house. He started 3 ft away from his front door. He then walked another unknown distance North or South. If North is represented positively and South is represented negatively, which function BEST represents how far James is away from his house?
A) f(x) = |x| + 3

B) f(x) = |x - 3|

C) f(x) = x(-x) + 3

D) f(x) = 3x - (x - 3)

Answer 1

Here, we are required to determine which function BEST represents how far James is away from his house.

The function which best describes how far james is away from his house is; Choice A. i.e

f(x) = |x| + 3

Since James first walked 3ft away from his front door, and afterwards,

James walked another unknown distance, x North or South, where North is represented positively and South is represented negatively.

To represent this movement, it is best to represent X as the absolute value of x which is given by : |x|.

Therefore, the function which BEST represents how far James is away from his house is ;

f(x) = |x| + 3

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