Question

For each function shown:
Name the starting point.
Explain how y changes as x increases.
Function #1: y = 0.5 + 3x
Function #2: y = 3(0.5)x

Answer 1

Answer:

Given:

Function 1 : $y = 0.5+3x$

Function 2: $y = 3(0.5)x$

To find the starting point in each functions:

In function 1;

for x =0

$y = 0.5+3(0)$ = 0.5

(0, 0.5) is the starting point

In function 2;

for x =0

$y = 3(0.5)(0)$= 0

(0, 0) is the starting point.

Explain how y changes as x increases.

In Function 1:

$y = 0.5+3x$

As  x increases,  y gradually increases by adding 3.

In Function  2:  

$y = 3(0.5)x =\frac{3}{2}x$

As x increases, y gradually decreases by dividing by 2.