Question

Rich rewrites the equation y=x/8−12
so that it is expressed in terms of x
. Which equation is equivalent to Rich’s equation?(1 point)
Responses

x=8y+96
x equals 8 y plus 96

x=8y+12
x equals 8 y plus 12

x=y+20
x equals y plus 20

x=8y−96

Answer 1

To rewrite the equation \( y = \frac{x}{8} - 12 \) in terms of \( x \), follow these steps:

1. Start with the original equation:
\[
y = \frac{x}{8} - 12
\]

2. Add 12 to both sides:
\[
y + 12 = \frac{x}{8}
\]

3. Multiply both sides by 8 to solve for \( x \):
\[
8(y + 12) = x
\]

4. Distribute the 8:
\[
x = 8y + 96
\]

Thus, the equivalent equation in terms of \( x \) is:
\[
x = 8y + 96
\]

The correct response is:
**x = 8y + 96**.