Joe's electric made 18 customer calls last week and 25 calls this week. How many calls must be made next week in order to maintain an average of at least 21 calls for the three week period at least __ calls must be made to maintain an average of 21.
Is the answer 63 calls?
No. He must make 63 calls total in three weeks.
21 * 3 = 63
18 + 25 = 43 -- He's already made 43 calls in two weeks.
63 - 43 = 20
Well, to figure out how many calls Joe's Electric needs to make next week, let's crunch some numbers.
In the past two weeks, Joe's Electric made a total of 18 + 25 = 43 calls.
To maintain an average of at least 21 calls over three weeks, the total number of calls in those three weeks would need to be at least 3 x 21 = 63 calls.
Since 43 calls have already been made in the previous two weeks, Joe's Electric would need to make at least another 63 - 43 = 20 calls next week to maintain the desired average.
So, the answer is 20 calls, not 63 calls. Keep on dialing, Joe's Electric!
To find the answer, we need to calculate the total number of calls made over the three-week period and then determine how many calls are needed in the next week to maintain an average of at least 21 calls.
Total calls made over the three-week period:
18 calls (last week) + 25 calls (this week) + X calls (next week) = total calls
Since the average is calculated by dividing the total number of calls by 3, the equation can be written as:
(total calls) / 3 ≥ 21
Multiplying both sides of the inequality by 3 gives us:
total calls ≥ 63
To maintain an average of at least 21 calls, Joe's Electric would need to make at least 63 calls over the three-week period. Therefore, your answer of 63 calls is correct.
To find out how many calls must be made next week in order to maintain an average of at least 21 calls for the three-week period, we need to first calculate the total number of calls made during the first two weeks.
The total number of calls made in the first two weeks is calculated by adding the number of calls made last week and this week: 18 + 25 = 43 calls.
Next, we need to determine how many calls must be made in the third week to maintain an average of at least 21 calls. Let's call this variable C.
The average number of calls for the three-week period can be calculated using the formula: (total number of calls in three weeks) / 3 = average number of calls per week.
Since the average number of calls needs to be at least 21, we can set up the following inequality:
(43 + C) / 3 ≥ 21
To solve this inequality, we can multiply both sides by 3:
43 + C ≥ 63
Subtracting 43 from both sides:
C ≥ 20
Therefore, in order to maintain an average of at least 21 calls for the three-week period, at least 20 calls must be made next week.
Hence, the answer is not 63 calls, but at least 20 calls.