Question

Express the statement as an equation (use k as the constant of proportionality). A varies inversely as r. If r=6, then A=10 k=_____

a) 1.67
b) 15
c) 60
d) 0.6

Answer 1

The constant of proportionality 'k' in an inverse proportionality equation 'A = k/r' is found to be 60 when given A=10 and r=6.

Step-by-step explanation:

The statement given by the student is that 'A varies inversely as r.' To express this as an equation with k as the constant of proportionality, we use the formula A = k/r. If r = 6 and A = 10, we can find the value of k by rearranging the equation to k = A * r. Substituting the given values, we get k = 10 * 6, which means k = 60. Therefore, the constant of proportionality is 60. This inverse proportionality indicates that as one value increases, the other decreases, which is a characteristic of inverse relationships.