Final answer:
It will take the students at Vienna Elementary 12 weeks to earn more than $1,000 total from selling donuts if the current earnings pattern continues, which cycles every three weeks.
Step-by-step explanation:
To determine how long it will take for the students at Vienna Elementary to earn more than $1,000 by selling donuts, we need to recognize the pattern in their earnings. According to the data provided, the earnings cycle every three weeks: $110 in week one, $100 in week two, and $90 in week three. We can calculate the total earnings for each cycle and then determine how many cycles are needed to surpass $1,000.
Let’s calculate the earnings for one cycle:
- Week 1: $110
- Week 2: $100
- Week 3: $90
Total earnings per cycle: $110 + $100 + $90 = $300
Now, let’s see how many cycles it would take to exceed $1,000:
- $300 (1 cycle)
- $600 (2 cycles)
- $900 (3 cycles)
- $1,200 (4 cycles)
After 4 cycles, which is 12 weeks, the students will have earned more than $1,000. Therefore, the answer is that it will take the students 12 weeks to earn more than $1,000 total if the pattern continues.