The value of y varies directly with x, and y = 16 when x = 8. What is the value of x when y = 32?
A. 16
B. 8
C. 2
D. 4

A) 16

Step-by-step explanation:

y = kx

16 = k*8

16/8 = k

k = 2

y = 2x

32 = 2x

32/2 = x

16 = x

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

answer: a.   one is a factor of every whole number since every number is divisible by itself.