Math

QuestionIdentify the correct function m(x)m(x), which is three times the input minus 15. Choose from the options provided.

Studdy Solution

STEP 1

Assumptions1. The function m(x)m(x) is defined such that the output is15 less than three times the input. . We are looking for the correct mathematical representation of this function.

STEP 2

Let's break down the given information. The output of the function is15 less than three times the input. This means we first multiply the input by, then subtract15.
So, the function can be written asm(x)=x15m(x) =x -15

STEP 3

Now, let's compare this function with the given options.
Option a m(3x)=15m(3x) = -15 is incorrect because it suggests that the output is always -15 regardless of the input, which is not the case according to the problem statement.
Option b m(x)=153xm(x) =15 -3x is incorrect because it suggests that we first subtract three times the input from15, which is the opposite of what the problem statement says.
Option c m(15)=3xm(15) =3x is incorrect because it suggests that the output is three times the input when the input is15, which is not the case according to the problem statement.
Option d m(x)=15+3xm(x) = -15 +3x is the correct option. Although the terms are reversed, it is equivalent to our function m(x)=3x15m(x) =3x -15 due to the commutative property of addition.
So, the correct representation of the function m(x)m(x) is m(x)=15+3xm(x) = -15 +3x.

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