consider the function represented by the equation 16b = 4r - 12. write the equation in function notation, where b is the indepen

Question

nevsk [136]

3 years ago

5

consider the function represented by the equation 16b = 4r - 12. write the equation in function notation, where b is the indepen

dent variable. Must show work for full credit

Mathematics

1 answer:

katovenus [111] · Answer 1 · 2022-05-10T21:50:40+03:00

When you write a function in the form $y=f(x)$ , y is the dependent variable, and x is the independent variable.

So, if b is the independent variable, it means that we have to solve the expression for r.

To do so, we perform the following steps: start with

$16b = 4r - 12$

Add 12 to both sides

$16b+12 = 4r$

Divide both sides by 4:

$4b+3 = r$

So, we wrote the expression in the form $r = f(b) = 4b+3$ , which means that r is the dependent variable and b is the independent variable, as requested.