Question
If 3 pencils cost $1.50, how much will 8 pencils cost, assuming the cost is proportional to the number of pencils?
Answers
GPT-4o mini
To determine the cost of 8 pencils, we can first find the cost of one pencil. Given that 3 pencils cost $1.50, we can calculate the cost of one pencil as follows:
\[
\text{Cost of one pencil} = \frac{\text{Total cost for 3 pencils}}{\text{Number of pencils}} = \frac{1.50}{3} = 0.50 \text{ dollars}
\]
Now that we know the cost of one pencil is $0.50, we can find the cost for 8 pencils:
\[
\text{Cost of 8 pencils} = \text{Cost per pencil} \times \text{Number of pencils} = 0.50 \times 8 = 4.00 \text{ dollars}
\]
Thus, the cost of 8 pencils is **$4.00**.
\[
\text{Cost of one pencil} = \frac{\text{Total cost for 3 pencils}}{\text{Number of pencils}} = \frac{1.50}{3} = 0.50 \text{ dollars}
\]
Now that we know the cost of one pencil is $0.50, we can find the cost for 8 pencils:
\[
\text{Cost of 8 pencils} = \text{Cost per pencil} \times \text{Number of pencils} = 0.50 \times 8 = 4.00 \text{ dollars}
\]
Thus, the cost of 8 pencils is **$4.00**.