Question

Each table represents a proportional relationship. For each, find theconstant of proportionality, k, and write an equation that represents therelationship. Write k as a simplified proper or improper fraction and use thegiven variables.

Answer 1

**For the first table:

*We determine the value of k, as follows:

$30=k(18)\Rightarrow k=\frac{5}{3}$

The equation that represents the table is:

$f=\frac{5}{3}d$

**For the second table:

*We determine the value of k, as follows:

$18=k(30)\Rightarrow k=\frac{3}{5}$

The equation that represents the table is:

$d=\frac{3}{5}f$