Answer:
Step-by-step explanation:
The quickest to do this is to plug the coordinates into the Slope-Intercept Formula. It does not matter which ordered pair you choose:
-2 = ½[-9] + b
-4½
2½ = b
y = ½x + 2½
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3 = ½[1] + b
2½ = b
y = ½x + 2½
** You see? I told you it did not matter which ordered pair you choose because you will always get the exact same result.
I am joyous to assist you anytime.
*** This was not one of your answer choices. Perhaps you made an error?
The number is 87 because the numbers are upside down.
If they do not have a line of best fit this may be because there is no correlation
I've never seen the terminology 'slope-intercept' form before, but it seems fairly self-explanatory that it means 'of the form y = m + c'.
Hence it is a simply rearrangement of the equation to start with, in order to make the subject:
This is the graph in 'slope-intercept' form. From here it is easy to see that gradient = and that y-intercept = 490.
The easiest way to draw a straight-line graph, such as this one, is to plot the y-intercept, in this case (0, 490), then plot another point either side of it at a fair distance (for example substitute = -5 and = 5 to procure two more sets of co-ordinates). These can be joined up with a straight line to form a section of the graph, which would otherwise extend infinitely either side - use the specified range in the question for x-values, and do not exceed it (clearly here the limit of -values is 0 ≤ x ≤ 735, since neither x nor y can be negative within the context of the question - the upper limit was found by substituting = 0).
In function notation, the graph is:
The graph of this function represents how the value of the function varies as the value of x varies. Looking back at the question context, this graph specifically represents how many wraps could have been sold at each number of sandwich sales, in order to maintain the same profit of $1470.
When the profit is higher, the gradient is not changed (this is defined by the relationship between the $2 and $3 prices, not the overall profit) - instead the -intercept is higher:
Therefore we have gleaned that the new y-intercept is 531.
Clearly I cannot see the third straight line. However the method for finding the equation of a straight line graph is fairly simple:
1. Select two points on the line and write down their coordinates
2. The gradient of the line =
3. Find the change in (Δ
4. Find the change in (Δ
5. Divide the result of stage 3 by the result of stage 4
6. This is your gradient
7. Take one of your sets of coordinates, and arrange them in the form , where your is the gradient you just calculated
8. There is only one variable left, which is (the y-intercept). Simply solve for this
9. Now generalise the equation, in the form , by inputting your gradient and y-intercept whilst leaving the coordinates as and
For example if the two points were (1, 9) and (4, 6):
Δ = 6 - 9 = -3
Δ = 4 - 1 = 3
= = -1
I choose the point (4, 6)
6 = (-1 * 4) + c
6 = c - 4
c = 10
Therefore, generally,
Within the context of the question, I imagine the prices of the two lunch specials will be the same in the third month and hence the gradient will still be - this means steps 1-6 can be omitted. Furthermore if the axes are clearly labelled, you may even be able to just read off the y-intercept and hence dispose with steps 1-8!
I hope this helps you
The purpose of knowing the angle of elevation and depression in relation to the field of surveyor, military/police, aeronautics (pilot), engineers, landscapers, and architects is discussed below
<h3>What is angle of elevation and depression?</h3>
If a person stands and looks up at an object, the angle of elevation is the angle between the horizontal line of sight and the object. If a person stands and looks down at an object, the angle of depression is the angle between the horizontal line of sight and the object.
If the pilot looks straight out, that line of sight is horizontal (focused on the distant horizon). The pilot might see the airport's runway, distant buildings, or even mountains in her field of view.
If the pilot looks down at the ground, the one will see the ground crew. The angle of depression is the angle that is formed between the horizontal and the downward looking angle. It is always a downward view, an angle below the horizon.
For the ground crewmember, looking down would not be much help in communicating with the pilot in her cockpit seat. The crewmember will look up, above the horizontal line, to see the pilot. The ground crewmember's angle of vision if an angle of elevation, the angle above the horizon.
Angle of elevation or depression in a survey can be defined as the angle subtended between the line of sight passing through the scope and the horizontal axis of the instrument.
Engineers, landscapers, architects all use trigonometry in their everyday life to help them efficiently and safely create or design something new.
Learn more about angle of elevation and depression here:
brainly.com/question/18652056
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