Question

Can someone help me with this math homework please!

Answer 1

(A)
`y=-(3)/(4)x+36`

Explanation:

Here's what we know about the question:

- stairs start at a height of 36 inches

- stairs decreases 9 inches vertically for every 12 horizontal inches

Because the stairs decrease, the function will NOT be a positive function. Instead, it will be a negative function, so either (A) or (B).

The y-intercept, which is 36, is the same for both answer choices, so we need to find the correct slope to find the correct answer choice.

Slope is a fraction that is sometimes called rise over run (rise/run) to help write the correct slope. The rise is the vertical change and the run is the horizontal change.

In this question, our vertical change is -9 inches (it's negative because it decreases) and our horizontal change is 12 inches. Using the rise/run formula, we get a slope of -9/12. Simplified, it's -3/4.

So our answer is y = -3/4x + 36

Hope that helps (●'◡'●)

Answer 2

9514 1404 393

Answer:

(a) y = -3/4x +36

Explanation:

The slope of the rail is ...

m = rise/run = -9/12 = -3/4

The initial height of the rail is 36, so the slope-intercept equation for the rail is ...

y = mx +b . . . . . m = slope; b = initial value

y = -3/4x + 36