1. **State the problem:** We have data on parents buying snacks over 4 weeks. We need to complete totals, identify prime and composite numbers, create a bar graph, and find differences in purchases. 2. **Complete the table (Total number of parents per week):** We add the number of parents who bought Cup soup, Hot chips, and both (Cup soup and hot chips) for each week. For Week 1: $$25 + 43 - 11 = 57$$ (We subtract the overlap once to avoid double counting.) For Week 2: $$34 + 15 - 17 = 32$$ For Week 3: $$30 + 23 - 13 = 40$$ For Week 4: $$45 + 29 - 7 = 67$$ 3. **Identify snack purchases represented by prime numbers each week:** Prime numbers from the table by snack and week are: - Cup soup: Week 2 (34 is not prime), Week 3 (30 no), Week 4 (45 no), Week 1 (25 no). None are primes. - Hot chips: Week 2 (15 no), Week 3 (23 **prime**), Week 4 (29 **prime**), Week 1 (43 **prime**). - Cup soup and hot chips: Week 1 (11 **prime**), Week 2 (17 **prime**), Week 3 (13 **prime**), Week 4 (7 **prime**). Thus, the snacks with prime purchase counts each week are Hot chips and Cup soup and hot chips. 4. **Composite numbers in Week 2:** Week 2 numbers are: - Cup soup: 34 (Is $34 = 2\times17$, composite) - Hot chips: 15 (Is $15 = 3\times5$, composite) - Cup soup and hot chips: 17 (prime) Composite numbers are: 34, 15 5. **Bar graph creation:** Use the totals per week: Week 1: 57, Week 2: 32, Week 3: 40, Week 4: 67. Title: "Total Parents Buying Snacks Each Week" X-axis: Weeks 1 to 4 Y-axis: Number of parents (0 to 100 as labeled) 6. **Difference between parents purchasing cup soup and hot chips:** Calculate total parents per snack over 4 weeks (subtracting overlap): - Cup soup total: $25 + 34 + 30 + 45 = 134$ - Hot chips total: $43 + 15 + 23 + 29 = 110$ - Cup soup and hot chips total: $11 + 17 + 13 + 7 = 48$ Adjusted totals (not double counting those who bought both): - Cup soup only: $134 - 48 = 86$ - Hot chips only: $110 - 48 = 62$ Difference: $$86 - 62 = 24$$ So, 24 more parents purchased cup soup than hot chips over the month.