|
Question 73836This question is from textbook
: What is the real world meaning to A in the equation Y=A+bx the equation is Y=0.1469x+49.243 this is about roller coasters.Thank you
This question is from textbook
Answer by bucky(2189)   (Show Source):
You can put this solution on YOUR website! Y=A+bx
.
Just as a matter of practice an equation of this type is normally written with the term
containing the x appearing first on the right side. So it is normally written as:
.
Y = bx + A
.
This form is called the slope-intercept form.
.
The A is the value of Y where the graph of the equation crosses the Y-axis.
.
and furthermore b is the slope of the graph, where slope is defined as the change in the
vertical Y distance divided by the corresponding change in the horizontal x distance.
The bigger that b is the steeper the slope.
.
You provided the equation:
.
Y=0.1469x+49.243
.
and said that it had to do with roller coasters. If the graph of this equation were meant to
model the track of a roller coaster, then I could interpret it to have this meaning:
.
Y is the height of the track or the vertical distance from the ground
.
x is the horizontal distance on the ground under the track
.
The constant (in this case 49.243) would represent the the vertical height of the track
at the point where the horizontal distance is set at zero ... that is to say, the point
where you are going to start measuring horizontally. The multiplier of x (in this case 0.1469)
would be the slope. You could say that for every 10 feet you went horizontally the change in the
vertical height of the track would be + or up 1.469 feet. That's not very steep for a roller coaster.
.
Maybe this is what you were looking for. Without knowing what Y, x, and the
constant A
are supposed to represent in the model, it's difficult to guess what this problem really
means.
.
Hope this helps to get you thinking about how this equation might tie into "the real world."
|
|
|
| |
