Question

Can someone help me please

1. Find the constant of variation for the quadratic variation.

x 2 3 4 5 6
y 32 72 128 200 288

8
16
24
40

2. Find the constant of variation for the quadratic variation.

9y = 4x2

4/9
-2
2/3
9/4

3. If f(x) varies directly with x2, and f(x) = 75 when x = 5, find the value of f(4).

100
50
48
25

4. Write a quadratic variation equation if g(x) varies directly with x2, and g(x) = 98 when x = 7.

g(x) = 7x2
g(x)= ½x2
g(x) = 14x2
g(x) = 2

Answer 1

quadratic has the form y=ax^2+b
for the first one 32=a(2)^2+b
72=a(3)^4+b
128=a(4)^2+b..
and so on.. how can you figure out what a and b are

Answer 2

but i dont know what a and b is @dan815

Answer 3

you find them

Answer 4

you have 2 equations and 2 unknowns

Answer 5

or just think what number do i multiply 4 to get 32
what number do i multiply 9 to get 72.
in this case b turns out to be 0, so you only have to see what a is or the constant of variation

Answer 6

8

Answer 7

@dan815