Kelvin and lewie each design surveys in order to determine the number of people who buy food at the mall. kelvin surveys every other person leaving the food area. lewie surveys every fifth person leaving the mall’s main entrance. which best explains which student’s survey is likely to produce less valid results?
a. kelvin’s because he surveyed people leaving an area where food is sold
b. kelvin’s because he surveyed every other person instead of every fifth person
c. lewie’s because he surveyed every fifth person instead of every other person
d. lewie’s because he surveyed people who may or may not have bought food

A.Kelvin’s because he surveyed people leaving an area where food is sold

Step-by-step explanation:

Given: Kelvin and Lewie each design surveys in order to determine the number of people who buy food at the mall.

Kelvin surveys every other person leaving the food area.

Thus, he doesn't know about the people who do not buy food at mall whereas Lewie surveys every fifth person leaving the mall’s main entrance.

Thus, by this systematic random sampling he knows out of how many people the number of people buy food at mall.

Hence, Kelvin’s survey is likely to produce less valid results because he surveyed people leaving an area where food is sold.

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal