Answer:
The right answer is Option D: [tex]y = -\frac{2}{3}x+\frac{3}{2}[/tex]
Step-by-step explanation:
Given that initial value of 3/2 and rate of change is -2/3
The given functions can be observed and it can be concluded that the functions are in the form
[tex]y = mx+c[/tex]
Here m is the slope which is also called rate of change and c is the y-intercept.
The y-intercept is the initial value when input is zero.
So we have to look for a function that has 3/2 in place of c and -2/3 in place of m.
From the given options,
[tex]y = -\frac{2}{3}x+\frac{3}{2}[/tex] is the matching function
Hence,
The right answer is Option D: [tex]y = -\frac{2}{3}x+\frac{3}{2}[/tex]
