Answer/Step-by-step explanation:
Given, y = k√x
Let's find the following:
a. To find k, using the first pair given, (64, 16), plug in the values of the ordered pair into y = k√x
Thus:
16 = k√64
16 = k*8
Divide both sides by 8
16/8 = k
k = 2
b. To find F, substitute k = 2, and x = 100 into y = k√x
Thus:
y = 2√100
y = 2*10
y = 20
F = 20
c. To find x, substitute k = 2, and y = 10√2 into y = k√x.
Thus:
10√2 = 2√x
Divide both sides by 2
(10√2)/2 = √x
5√2 = √x
Square both sides
x = (5√2)²
x = 25*2
x = 50
d = 50