Zellie is taking the stairs in her building from her floor to the top of the building. After 2 minutes, she was 100 steps from the bottom floor. After 5 minutes she was 196 steps from the bottom floor.

The question seems to be incomplete, so i will think that this is a linear equation, where we can find the velocity at which she moves, and also her initial position.

A linear relationship can be written as:

y = a*x + b

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

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

In this case we have two points:

"After 2 minutes, she was 100 steps from the bottom floor."

this can be represented with the point: (2min, 100 steps)

" After 5 minutes she was 196 steps from the bottom floor"

This can be represented with the point (5min, 196 steps)

With this, we can find the slope of this equation:

a = (196 steps - 100 steps)/(5min - 2min) = 96steps/3min = 32 steps/min

This means that she does 32 steps in one minute.

Then we can write her positon equation as:

y = (32steps/min)*x + b

where x represents the time, and b is her initial position.

If we replace x by 2 min, and y for 100 steps, we get:

100steps = (32steps/min)*2min + b

100 steps = 64 steps + b

100 steps - 64 steps = b = 36 steps.

This means that she started to take the stairs 36 steps from the bottom floor.

pay attention in your classes and concentrate the best thing you can do to raise your test scores is to pay attention when you're supposed to be learning the material: in class!

take good notes.

do your homework.

use mnemonics and other tricks.

do practice tests.

note: the best i know.