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

Respuesta :

Answer:

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.

Answer:

C: Area and side length of a square

Step-by-step explanation: