Answer:
D α H
k = D/H
k = 3.50
Step-by-step explanation:
Amount paid, D is directly proportional to the number of hotdogs, H
D = $3.50 per hot dog
D = $3.50 is directly proportional to 1 hotdog
Hence,
D α H
D = kH
k = proportionality constant
H = 1
3.50 = k
k = 3.50
k = D/H
(-2+3)/(6+4)= 1/10
y+3=1/10(x + 4)
y + 3 = (1/10)x + 4/10
y + 30/10 = ( 1/10)x + 4/10
y = (1/10)x + 4/10 - 30/10
y = (1/10)x - 26/10
y = (1/10)x - 13/5
10(y = (1/10)x - 13/5)
10y = x - 26
-x + 10y = -26
Given the equation 
Check all options:
A.
, this means that
Substitute these numbers into the left side of the equation equation:

This option is false.
B.
, this means that
Substitute these numbers into the left side of the equation equation:

This option is false.
C.
, this means that
Substitute these numbers into the left side of the equation equation:

This option is false.
D.
, this means that
Substitute these numbers into the left side of the equation equation:

This option is true.
Answer: correct choice is D.