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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 =​

Sagot :

We want to write an function that relates the number of blocks south of school that she is to the number of minutes that she has been walking.

The function is: y = (1 block/minute)*x + 8 blocks

A general linear function is:

y = a*x + b

where a is the slope and b is the y-intercept.

First, we do know that she lives 8 blocks south of her school, so the y-intercept of the linear function will be 8 blocks (the point where she starts).

Now we know that her friend lives farther south, so she moves south, at a velocity of 1 block per minute.

Then the linear function is:

y = (1 block/minute)*x + 8 blocks

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