Question

3.) henry can swim 2 yards in 5 minutes.
a.) what fraction represents his given constant speed?
b.) write the fraction that represents his constant speed if it takes him minutes x to swim 7 yards.

Explanation:

Part (a)

Step1: Recall speed formula

Speed is defined as distance divided by time, so \( \text{Speed} = \frac{\text{Distance}}{\text{Time}} \).

Step2: Identify distance and time

Henry swims 2 yards (distance) in 5 minutes (time).

Step3: Form the fraction

Substitute distance = 2 yards and time = 5 minutes into the speed formula: \( \frac{2}{5} \) (yards per minute).

Step1: Recall speed formula

Speed is still \( \text{Speed} = \frac{\text{Distance}}{\text{Time}} \).

Step2: Identify new distance and time

Now, distance is 7 yards and time is \( x \) minutes.

Step3: Form the fraction

Substitute distance = 7 yards and time = \( x \) minutes into the speed formula: \( \frac{7}{x} \) (yards per minute).

Answer:

\( \frac{2}{5} \)

Part (b)