Question

be sure to complete the activity \direct and inverse variation\ before answering the questions in this practice level!

based on the equation ( f = ma ), we can determine that force is...

directly proportional to both mass and acceleration.

inversely proportional to mass.

directly proportional to mass.

inversely proportional to acceleration.

Explanation:

According to the direct variation concept, if \(y = kx\) (\(k\) is a non - zero constant), \(y\) is directly proportional to \(x\). In the formula \(F=ma\), when acceleration \(a\) is constant, \(F = k_1m\) (\(k_1=a\) is a non - zero constant), so force \(F\) is directly proportional to mass \(m\). When mass \(m\) is constant, \(F=k_2a\) (\(k_2 = m\) is a non - zero constant), so force \(F\) is directly proportional to acceleration \(a\).

Answer:

directly proportional to both mass and acceleration.