Well, the first one, I have never worked with before so I'm sry but I can't help you with that one. 3y + x = 4 (x=1) 2y - x = 6 (x=8)
Answer:
- Asafa ran at a faster rate
Step-by-step explanation:
<u>Asafa's speed:</u>
- 0.75 km/ 6 min = 750 m/ 6 min = 125 m/min
<u>Jemaine's speed:</u>
- 3000 m / 30 min = 100 m/min
Asafa ran at faster rate as 125 m/min > 100 m/min
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Direct variation means that the line goes through the origin of the graph, so you know that the line must go through point (0,0). Using that along with the given point, you can find the slope of the line.
m =
m =
m =
m = 6
Now that you know the slope of the line you are looking for is 6, you can plug that into a point-slope form equation and find the equation of your line.
y - y_1 = m (x - x_1) Plug in either set of coordinate. I chose (3, 18).
y - 18 = 6 (x - 3) Use he Distributive Property
y - 18 = 6x - 18 Add 18 to both sides
y = 6x
The equation of a direct variation line that includes the point (3, 18) is
y = 6x.
The range of the top plot, hours spent by 13-15 year olds, is found by subtracting the highest value, 34, and the lowest value, 21. 34-21=13.
The mean of the top plot is found by adding together all of the data points and dividing by 10 (the number of data points):
The range of the bottom plot, minutes spent online by 16-18 year olds, is found by subtracting the highest value, 36, and the lowest value, 12. 36-12=24.
The mean of the bottom plot is found by adding together all of the data points and dividing by 11 (the number of data points):