Consider this relation: A

Question

is equal to the sum of two times B
and 19. Which of the following options models the inverse of the relation?(1 point)
Responses

B=A−192
upper B equals Start Fraction upper A minus 19 over 2 End Fraction

B=A+192
upper B equals Start Fraction upper A plus 19 over 2 End Fraction

B=2A−19
upper B equals 2 upper A minus 19

B=2A+19

Answer 1

The original relation given is:

$$A=2B+19$$

To find the inverse of this relation, we need to express $B$ in terms of $A$.

1. Start with the original equation: $$A=2B+19$$

2. Subtract 19 from both sides: $$A-19=2B$$

3. Divide both sides by 2: $$B=\frac{A-19}{2}$$

Thus, the inverse of the relation is:

$$B=\frac{A-19}{2}$$

From the options given, the correct model for the inverse of the relation is:

B = $\frac{A-19}{2}$.