Suppose y is directly proportional to x
If y = 8 when x = 20, determine the value of k such that y = kx

k = 2/5

Step-by-step explanation:

from the question , we have that Suppose y is directly proportional to x

mathematically'

y ∝ x

y = kx where k is the constant of proportionality

given that y = 8, x = 20 where k = ?

so from,

y = kx

we are going to make k the subject of the formula by getting rid of x away from k.

y = kx

divide both sides by x

y/x = kx/x

y/x = k

therefore k =  y/x

k = 8/20

k = 2/5

therefore the value of k which is the constant of proportionality in this expression is given to be 2/5

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.