# Constant of proportionality

## Interactive practice questions

A car moves uniformly at the same speed. The duration of the journey is proportional to the distance travelled.

a

Complete the following table:

 Distance (in km) Time (in hours) $73$73 $146$146 $219$219 $\editable{}$ $1$1 $\editable{}$ $\editable{}$ $5$5
b

What is the constant of proportionality in the table above?

Easy
Approx 2 minutes

Answer the following questions in relation to the graph shown:

Consider the equation: $y=8x$y=8x.

In the following proportionality table, the second row is obtained by multiplying the top row by the constant of proportionality. Complete the table and find that constant.

### Outcomes

#### 9P.NA1.05

Solve problems involving ratios, rates, and directly proportional relationships in various contexts (e.g., currency conversions, scale drawings, measurement), using a variety of methods (e.g., using algebraic 15 20 x 4 reasoning, equivalent ratios, a constant of proportionality; using dynamic geometry software to construct and measure scale drawings)