Let the number be x, twice the number wil be 2*x=2x, minus 4, 2x-4=16, collect like terms, 2x=16+4, 2x=20, divide both sides by 2 x=10
Answer:
(A)
Step-by-step explanation:
1/2=x/6
2x=6
x=3
THerefore, (A)
Answer:
25×4
Step-by-step explanation:
As 24 dollars is one ticket then you do 24×4 which is 96 and 25×4 is 100 which is close to 96.
Hope this helps
You can tell if it has direct variation by finding the slope and inserting it and the coordinates into point slope form.
You can find the slope by putting both sets of coordinates into the equation
y - y / x -x , where the first y and x are from one set of coordinates, and the next two are from the other set.
(7.5 - 3) / (11.25 - 4.5)
4.5 / 6.75
The slope is 2/3
Next, input the slope and the origin (0,0) into point-slope form.
y - y = m (x - x) Substitute.
y - 3 = 2/3 (x - 4.5) Distributive Property.
y - 3 = 2/3x - 8/15 Add 3 to both sides.
y = 2/3x + 37/15 Simplify.
y = 2/3x + 2 2/15
So you know that the line does not go through origin, because its y-intercept is 2 2/15.
For the second one do the same things.
y -y / x - x
(3 - 1.5) / (12 - 8)
1.5 / 4
3/8
y - y = m ( x - x )
y - 3 = 3/8 (x - 12)
y - 3 = 3/8x - 24/8
y = 3/8x - 0
y = 3/8x
So the second one goes through the origin because its y-intercept is 0. The answer is Table 2 has direct variation.
