Question

17 mark for review
for ( x > 0 ), the function is defined as follows:
( g(x) ) equals ( 219% ) of ( x )
which of the following could describe this function?
a increasing exponential
b increasing linear
c decreasing exponential
d decreasing linear

Explanation:

Step1: Translate the function

219% of \( x \) can be written as \( g(x)=\frac{219}{100}x = 2.19x \).

Step2: Analyze the function type

The function \( g(x)=2.19x \) is in the form of \( y = mx + b \) (here \( b = 0 \) and \( m=2.19>0 \)), which is a linear function. Since the slope \( m = 2.19 \) is positive, as \( x \) increases (for \( x>0 \)), \( g(x) \) will also increase. So it is an increasing linear function.

Answer:

B. Increasing linear