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1 answer:
Answer:
Yes, the relation is a function.
Step-by-step explanation:
Using the vertical line test is quite simple, really. You draw imaginary lines vertically down the graph and if at any point the imaginary lines intersect the given graph more than once, it's not a function. That simple, honestly. So, I used an online graphing calculator to graph the points (-6,-2), (-2,6), (0,3), (3,5), and then drew my imaginary lines. they did not intersect more than once so this indicates the relation is a function.
I really hope this helps you:) let me know if you have any more questions about this.
P.S. The lines on the image are nowhere near to straight so I'm sorry about that. freehanding with a mouse is a bit difficult.
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Solution:
The description about the graph is:
Graph shows 0 to 30 on x axis at increments of 5 and 0 to 12 on y axis at increments of 1. The label on the x axis is Temperature in degree C, and the label on the y axis is Number of Sweaters Sold. Dots are made at the ordered pairs 0, 12 and 2.5, 10 and 2.5, 11 and 5, 10 and 7.5, 9 and 7.5, 10 and 10, 7 and 12.5, 6 and 12.5, 8 and 15, 4 and 15, 7 and 17.5, 5 and 20, 1 and 20, 3 and 22.5, 9 and 25, 1 and 27.5, 1.
Part A: The relationship between the temperature of the city and the sale of sweaters in the city can be found by drawing the line of best fit.
If you will draw line through , (12.5,6) and (15,4), it will best represent line of best fit, because most of points on same and opposite side of line are equidistant from each other.
Equation of line passing through two points,
Equation of line passing through (12.5,6) and (15,4) is given by
Part B: Description of line of best fit
A line of best is the line which passes through all or some points or only through a single point, which describes the relationship between x and y values of data set. The line passes through (12.5,6), (15,4),and (7,10) that is three points.
(C) 4 x + 5 y=80
5 y= - 4 x +80
Slope , Y- intercept = 16
