Final answer:
The constant of proportionality for Victoria's cost of sending text messages is $0.10 per text. This means for every text Victoria sends, it will cost her 10 cents. If she has $10, she can send 100 text messages.
Step-by-step explanation:
If Victoria pays $0.10 for each text message she sends, the constant of proportionality, in this case, represents the cost per text message. The constant of proportionality (k) is the ratio of the total cost (y) to the number of text messages sent (x). So, if we denote the number of texts as 'x' and the total cost as 'y', the relationship can be expressed as y = 0.10x.
Using the provided information where Victoria spends $10, we can find the number of text messages she can send. Since each text costs $0.10, we divide the total amount by the cost per text: $10 / $0.10 = 100 texts.
Therefore, Victoria can send 100 texts with her $10 budget. The constant of proportionality here is $0.10 per text message because it remains constant irrespective of the number of messages sent, showcasing a direct proportion between the cost and the number of text messages.