<h3>
Answer: y = (-3/2)x+3</h3>
In decimal form, this is y = -1.5x+3
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Explanation:
Start at (0,3). Move three units down and two units to the right to get to (2,0)
slope = rise/run
slope = -3/2
rise = -3 = go 3 units down
run = 2 = go 2 units to the right
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We could use the two points (0,3) and (2,0) in the slope formula below
m = (y2-y1)/(x2-x1)
m = (0-3)/(2-0)
m = -3/2
So this is another way to see the slope is -3/2
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The y intercept is where the graph crosses the vertical y axis. In this case, it's at 3. So b = 3
Using m = -3/2 and b = 3, we go from y = mx+b to y = (-3/2)x+3 which is equivalent to y = -1.5x+3
You have to have one side equal x so I’ll solve one from each section
e) x = 2
5x = 12 - x
add x to both sides
6x = 12
divide both sides by 6
x = 2
k) x = 3
15x + 4 = 10x + 19
move the 4 to the other side by subtracting on both sides
15x = 10x + 15
subtract 10x from both sides
5x = 15
divide by sides by 5
x = 3
The ratio is 4/5. They both can be reduced down by 9.
20% of £37500 = 20/100 x 37500 = £7500 (TAX)
40% of £112500 = 40/100 x 112500 = £45000 (TAX)
0% of £12500 = 0 (TAX)
25% of x = 9260
x= £37040 ( kim earned that year)
B. The fraction 4/9 is 4 times as large as 1/9