Question

Jori ordered packets of beads. Three packets contained a total of 36 beads. Four packets had a total of 48 beads, 5 packets had a total of 60, and 6 packets had a total of 72.

This a proportional relationship.
Let p represent the number of packets and b represent the number of beads.
Given that the relationship between packets and beads is proportional, which equation models this relationship?

Answer 1

Explanation:

We can use the concept of unit rate to find the constant of proportionality between the number of packets and the number of beads.

For the first case, with 3 packets and 36 beads, the unit rate is 36/3 = 12 beads per packet.

For the second case, with 4 packets and 48 beads, the unit rate is 48/4 = 12 beads per packet.

We can see that the unit rate is the same for both cases, so we can conclude that the relationship between the number of packets and the number of beads is proportional, and the constant of proportionality is 12 beads per packet.

Therefore, the equation that models this relationship is:

b = 12p,

where b is the number of beads and p is the number of packets.