Answer:
C) y = (1/3)x
D) y = 1/3x + 1
Step-by-step explanation:
One simple method to evaluate this question is by inserting the values of x in the options:
A) If x =1
y = 3*(1) = 3
for x =2
y = 3*(2) = 6
=> Value of function is increasing by the factor 3, so option is wrong.
B) If x =1
y = 3*(1) +1 = 4
for x =2
y = 3*(2) + 1 = 7
=> Value of function is increasing by the factor 3, so option is wrong.
C) If x =1
y = (1/3)*(1) = 1/3
for x =2
y = (1/3)*(2) = 2/3
for x =3
y = (1/3)*(3) = 3/3 = 1
=> Value of function is increasing by the factor 1/3, so option is correct.
D) If x =1
y = (1/3)*(1) + 1 = 4/3
for x =2
y = (1/3)*(2) + 1 = 5/3
for x =3
y = (1/3)*(3) +1 = 3/3 + 1 = 2
=> Value of function is increasing by the factor 1/3, so option is also correct.
