Can someone help me with this math homework please!
2 answers:
Answer:
(A)
Step-by-step 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 (●'◡'●)
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Answer:
The volume of the medium box is 8 times the volume of the small box
The volume of the large box is 3.375 times the volume of the medium box
The volume of the large box is 27 times the volume of the small box
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
so
In this problem
1) The scale factor of the small box to the medium box is equal to
The scale factor elevated to the cube is equal to
therefore
The volume of the medium box is 8 times the volume of the small box
2) The scale factor of the medium box to the large box is equal to
The scale factor elevated to the cube is equal to
therefore
The volume of the large box is 3.375 times the volume of the medium box
3) The scale factor of the small box to the large box is equal to
The scale factor elevated to the cube is equal to
therefore
The volume of the large box is 27 times the volume of the small box