Question

Ants have 6 legs. Elena and Andre write equations showing the proportional relationship between the number of ants, a, to the number of ant legs, v. Elena writes a = 6 times v and Andre writes v =1/6 times a. Do you agree with either of the equations? Explain your reasoning.

Answer 1

I agree with Elena

Explanation:

Ants have 6 legs. Elena and Andre write equations showing the proportional relationship between the number of ants, a, to the number of ant legs, v.

Elena writes a = 6 times v

Andre writes v =1/6 times a.

Mathematically

The number of ants a is directly proportional to the number of legs

=a ∝ v

Because if

1 ant = 6 legs

2 ants = x legs

x = 6 legs × 2

x = 12 legs

The number of ants is directly proportional to the number of legs

Therefore, Elena is correct and Andre is wrong.