Final answer:
Using unit rates, Todd will know a total of 12 appetizer recipes after 3 weeks of culinary school, as he learns at a rate of 4 recipes per week.
Step-by-step explanation:
The student has asked about how many total appetizer recipes Todd will know after 3 weeks, given that he learned 8 recipes in the first 2 weeks. To solve this using unit rates, we need to determine the number of recipes learned per week and then use this rate to calculate the total for 3 weeks.
First, we find the rate of recipes Todd learns per week by dividing the total recipes learned by the number of weeks:
- Total recipes learned in 2 weeks = 8
- Number of weeks = 2
- Rate of learning = total recipes ÷ number of weeks = 8 ÷ 2 = 4 recipes per week
Now that we know Todd learns 4 recipes per week, we use this rate to calculate how many recipes he will know after 3 weeks:
- Rate of learning x number of weeks = 4 recipes/week x 3 weeks = 12 recipes
Therefore, after 3 weeks of culinary school, Todd will know a total of 12 appetizer recipes.