Which pair of quantities is LEAST likely to be directly proportional?

A. Hours worked and money earned

B. Distance and time when speed is constant

C. Area and side length of a square

D. Total cost and the number of hats purchased

I believe the answer is C because area increases far faster than length. For example, I can show you by portraying the equation of each scenario below...

Step-by-step explanation:

A)

Hours = h

money earned = m

w = wage

Eqn:

h(w) = m

Hours * wage = money earned

B)

Distance = d

speed = s

time = t

Eqn:

t(s) = d

time * speed = distance

Since speed is always constant, your distance will not significantly increase

C)

Area = a

side length s

s^2=a

Side length squared = area

When comparing all of the eqns, we can see that the relationship of the sidelength to the area is exponential (unlike the other options). So I think the answer is C, because the exponential factor will drastically increase the area relative to the side length.

A)   h(w) = m

B)    t(s) = d

C)     s^2=a

C is your answer! It is not directly proportional. The increase is not linear.

C: Area and side length of a square

Step-by-step explanation:

the science club has 42 people and the robotics club has 33

step-by-step explanation:

last one.

step-by-step explanation:

last one.

generally speaking, the others follow some sort of pattern that correlates to either linear (looks like a straight line) or sinusoidal (looks like an s).

the last one is just a random cloud of points that doesn't correlate to any particular known order.