Question

1. lorenzo made 3 sandwiches in 7 minutes. at that rate, how many sandwiches would he make in 12 minutes?

Explanation:

Step1: Find the rate of making sandwiches

The rate is the number of sandwiches per minute. So, the rate \( r = \frac{\text{Number of sandwiches}}{\text{Time in minutes}}=\frac{3}{7} \) sandwiches per minute.

Step2: Calculate the number of sandwiches in 12 minutes

Using the formula \( \text{Number of sandwiches} = \text{Rate} \times \text{Time} \), we substitute the rate and time. So, the number of sandwiches \( n=\frac{3}{7}\times12=\frac{36}{7}\approx5.14 \). Since we are talking about the number of sandwiches made (we can consider the actual number he can make, but if we take the exact value from the rate, it's a fraction. However, if we assume he makes sandwiches at a constant rate and we can have a fractional number for the purpose of calculation, the value is \( \frac{36}{7} \) or approximately 5.14. But if we need to round to a whole number, it would be 5 (but the problem might expect the exact fractional or decimal value).

Answer:

\(\frac{36}{7}\) (or approximately \(5.14\))