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.
c.) write a proportion using the fractions from parts (a) and (b) to determine how long it takes him to swim 7 yards.
d.) write a two variable equation to represent how many yards he can swim in any time interval.

Explanation:

Part (a)

Step1: Recall speed formula

Speed is distance over time, so for Henry, distance is 2 yards, time is 5 minutes.
The fraction for speed is $\frac{\text{distance}}{\text{time}} = \frac{2}{5}$.

Step1: Identify distance and time

Distance is 7 yards, time is $x$ minutes.

Step2: Form speed fraction

Using speed formula (distance/time), the fraction is $\frac{7}{x}$.

Step1: Recall constant speed

Since speed is constant, the two speed fractions (from (a) and (b)) are equal.

Step2: Set up proportion

Set $\frac{2}{5} = \frac{7}{x}$.

Answer:

$\frac{2}{5}$

Part (b)