Question

Miranda lives 8 blocks south of her school. She decides to visit a friend who lives even farther south. She walks south 1 block per minute.
Write an equation that shows the relationship between the number of minutes Miranda has been walking, x, and the number of blocks south of school she is, y.
y=

Answer 1

To determine the equation that shows the relationship between the number of minutes Miranda has been walking (x) and the number of blocks south of her school (y), we start with her initial position.

Miranda lives 8 blocks south of her school. As she walks south at a rate of 1 block per minute, each minute of walking adds 1 block to her distance from the school.

Let:
- \( x \) = number of minutes Miranda has been walking
- \( y \) = number of blocks south of the school

Initially, when \( x = 0 \) (she hasn't walked at all), \( y = 8 \) (because she starts 8 blocks south of the school). After \( x \) minutes of walking, she will have walked an additional \( x \) blocks south. Therefore, her position can be represented by the equation:

\[
y = 8 + x
\]

This shows that for every minute \( x \) she walks, she is \( x \) blocks farther south from her school starting from 8 blocks.

So the final equation is:
\[
y = 8 + x
\]