Answer:
The answer is -3/8.
Step-by-step explanation:
Hey there!
To find the rate of change, we can use the slope formula.
[tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Our values for each are listed below:
- x₁ = 0
- x₂ = 16
- y₁ = 12
- y₂ = 6
Now, we need to do basic arithmetic to find the rate of change by substituting the known values for the coordinates into the slope formula.
[tex]\displaystyle m = \frac{6 - 12}{16-0}[/tex]
Then, we can simplify by evaluating the numerator and the denominator separately:
[tex]\displaystyle m = \frac{-6}{16}[/tex]
Finally, we can find the simplified version of this fraction:
[tex]\displaystyle m = -\frac{3}{8}[/tex]
Therefore, the rate of change is -3/8.
