A penguin walks 10 feet in 6 seconds. At this speed: a. How far does the penguin walk in 45 seconds? Explain or show your reasoning

To find out how far the penguin walks in 45 seconds, we can use the concept of speed and time. Given: - Speed of the penguin = 10 feet / 6 seconds To find the distance the penguin walks in 45 seconds, we can use the formula: \[ \text{Distance} = \text{Speed} \times \text{Time} \] Substitute the given values into the formula: \[ \text{Distance} = \frac{10 \text{ feet}}{6 \text{ seconds}} \times 45 \text{ seconds} \] Now, we can calculate the distance the penguin walks in 45 seconds. Calculate the value by following steps: - step0: Calculate: \(\left(\frac{10}{6}\right)\times 45\) - step1: Reduce the fraction: \(\frac{5}{3}\times 45\) - step2: Reduce the numbers: \(5\times 15\) - step3: Multiply the numbers: \(75\)