 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)