Question
In his spare time, Jack builds birdhouses and sells them. Complete the table below to find how much Jack earns for selling a certain number of birdhouses.
Number of Birdhouses Sold 12 14 16 18 20
Earnings (in dollars) 60 70 80 90 ?
A.
25
B.
110
C.
100
D.
102
Number of Birdhouses Sold 12 14 16 18 20
Earnings (in dollars) 60 70 80 90 ?
A.
25
B.
110
C.
100
D.
102
Answers
GPT-4o mini
To find the missing earnings when Jack sells 20 birdhouses, we can observe the earnings for the previous birdhouses sold and check for a pattern.
The earnings increase as the number of birdhouses increases:
- For 12 birdhouses, earnings = $60
- For 14 birdhouses, earnings = $70
- For 16 birdhouses, earnings = $80
- For 18 birdhouses, earnings = $90
We can see that for every 2 additional birdhouses sold, earnings increase by $10. This pattern suggests that Jack's earnings increase linearly.
Continuing this pattern:
- From 18 birdhouses to 20 birdhouses (an increase of 2 birdhouses), we should add $10 to the previous earnings of $90.
So, earnings for 20 birdhouses sold would be:
\[ 90 + 10 = 100 \]
Thus, the answer is **C. 100**.
The earnings increase as the number of birdhouses increases:
- For 12 birdhouses, earnings = $60
- For 14 birdhouses, earnings = $70
- For 16 birdhouses, earnings = $80
- For 18 birdhouses, earnings = $90
We can see that for every 2 additional birdhouses sold, earnings increase by $10. This pattern suggests that Jack's earnings increase linearly.
Continuing this pattern:
- From 18 birdhouses to 20 birdhouses (an increase of 2 birdhouses), we should add $10 to the previous earnings of $90.
So, earnings for 20 birdhouses sold would be:
\[ 90 + 10 = 100 \]
Thus, the answer is **C. 100**.