Answer:
Step-by-step explanation:
1)a ) Let the constant proportionality =k
Direct proportion.So, y = kx
Plugin y = 6 and x =2 and find k
6 = k*2
6/2 = k
k = 3
Constant proportionality = 3
b) y = 3x
When x = 7 ; y = 3*7 = 21
y = 21
c)When x = 9,
y = 3*9
y = 27
d) When y = 9,
9 = 3*x
9/3 = x
x = 3
e)when y = 30
30 = 3*x
30/3 =x
x = 10
3) y is inversely proportion to x³
b) when x = 4
c) When x = 6
d) When y = 24
Answer:
7 is 15 questions
8 is $2.31
I’m not sure of 9 but my guess would be 250.51
Step-by-step explanation:
Answer:
y=1.5x-5
Step-by-step explanation:
First, we solve for the slope. The slope can be found by dividing the change in y by the change in x. We take:
(4,1)
(2,-2)
change in y: 1-(-2) = 3
change in x: 4-2 = 2
therefore, the slope is 3/2, or 1.5.
Second, we solve for the y-intercept (the b in mx+b).
Because we know that the slope is 1.5, we can simply plug it into a coordinate to find the y-intercept.
Let's take the coordinate (4,1).
4 is the x-coordinate, so we multiply by 1.5 (because the equation is of the form mx+b, m being slope and x being the x-coordinate value). The product is 6.
We know that 6 + b = 1. b must, therefore, be -5.
We plug it into the second coordinate to check.
2*1.5 = 3. 3-5 = -2. This is correct!
The equation for the given points is y=1.5x-5
Answer: 150%
Explaination: Convert the fraction to a decimal, then multiply by
100
