Question
The table shows how many pizzas (y) kenneth can make per hour (x). Determine if the relationship is proportional and if so, it's constant rate of proportionality.
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GPT 3.5
To determine if the relationship is proportional, we need to check if the ratio of pizzas to hours is constant.
Let's assume the table is as follows:
x (hours) | y (pizzas)
1 | 4
2 | 8
3 | 12
If the relationship is proportional, the ratio of pizzas to hours should be the same for each pair of values. Let's calculate the ratios for each pair:
1. 4 pizzas / 1 hour = 4 pizzas per hour
2. 8 pizzas / 2 hours = 4 pizzas per hour
3. 12 pizzas / 3 hours = 4 pizzas per hour
Since the ratio of pizzas to hours is constant (4 pizzas per hour), the relationship is proportional. The constant rate of proportionality is 4 pizzas per hour.
Let's assume the table is as follows:
x (hours) | y (pizzas)
1 | 4
2 | 8
3 | 12
If the relationship is proportional, the ratio of pizzas to hours should be the same for each pair of values. Let's calculate the ratios for each pair:
1. 4 pizzas / 1 hour = 4 pizzas per hour
2. 8 pizzas / 2 hours = 4 pizzas per hour
3. 12 pizzas / 3 hours = 4 pizzas per hour
Since the ratio of pizzas to hours is constant (4 pizzas per hour), the relationship is proportional. The constant rate of proportionality is 4 pizzas per hour.
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