Final answer:
To find the cost of 6 pencils when 9 cost $7.74, solve for the cost of one pencil, which is $0.86, and then multiply by 6 to get $5.16.
Step-by-step explanation:
To determine the cost of 6 pencils when 9 pencils cost $7.74, we can start by finding the cost of one pencil and then multiplying that cost by 6. Let the cost of one pencil be x dollars. The equation representing this situation would be 9x = 7.74. To find the cost of one pencil, solve for x:
- Divide both sides of the equation by 9: x = 7.74 / 9.
- Calculate the result: x = 0.86 (rounded to two decimal places).
- Now, to find the cost of 6 pencils, multiply the cost of one pencil by 6: 6 × 0.86.
- Therefore, the cost for 6 pencils is $5.16 (rounded to two decimal places).