4.07 Identifying the constant of proportionality
A car moves uniformly at the same speed. The duration of the journey is proportional to the distance travelled.
Complete the given table.
Find the constant of proportionality in the table.
| Distance (in km) | 73 | 146 | 219 | ⬚ |
|---|---|---|---|---|
| Time (in hours) | 1 | ⬚ | ⬚ | 5 |
Consider following proportionality table, where the second row is obtained by multiplying the top row by the constant of proportionality.
| 7 | 8 | 10 | ⬚ |
| ⬚ | 72 | ⬚ | 117 |
Complete the table.
Find the constant of proportionality.
Identify the constant of proportionality in the equation a = 19.5 b.
Audra realises that when she listens to her favorite radio station that they play 36 songs in 9 hours, and they play 72 songs in 18 hours.
Assume that the radio station plays the same amount of songs every hour. Calculate the constant of proportionality.
A coffee shop found that the amount of sugar used is proportional to the amount of coffee sold. The table below shows the amount of cups of sugar used and the amount of cups of coffees sold.
Complete the table.
Find the constant of proportionality.
| Number of packs of sugar used | 3 | 8 | 12 | ⬚ |
|---|---|---|---|---|
| Number of cups of coffee sold | ⬚ | 64 | ⬚ | 104 |
The number of cookies (y) consumed by x teachers in a staffroom can be calculated using the equation y = 12 x. According to this equation, how many cookies does each teacher consume?
Dionte is making batches of bread rolls. He knows he can make 60 bread rolls in 10 hours, and 120 bread rolls in 20 hours. Find the constant of proportionality.
Consider the graph that represents the amount of money Orazio earns.
Write the constant of proportionality of the graphed line.