Question

The students at Vienna Elementary sold donuts everyday at school for 6 months. The table below shows the earnings for the first 6 weeks. If the pattern continues, how long will it take the students to earn more than $1,000 total?

Week Number Amount Earned
1 $110
2 $100
3 $90
4 $110
5 $100
6 $90

Answer 1

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.