Answer:
[tex]\boxed{33.5 \ \text{feet/second}}[/tex]
Step-by-step explanation:
To find the unit rate, we need to find out how much distance does the cyclist travel in 1 second. For that, we need to use the unitary method. A unitary method is a method that determines the unit rate of an object.
Note: Since the cyclist travels at a constant rate, unitary method can be used.
[tex]\rightarrow 837 \dfrac{1}{2} \ \text{feet in 25 seconds}[/tex]
[tex]\rightarrow 837.5 \ \text{feet} = 25 \ \text{seconds}[/tex]
Divide both sides by 25:
[tex]\rightarrow \dfrac{837.5}{25} \ \text{feet} = \dfrac{25}{25} \ \text{seconds}[/tex]
[tex]\rightarrow 33.5 \ \text{feet} = 1 \ \text{seconds}[/tex]
[tex]\rightarrow \boxed{33.5 \ \text{feet/second}}[/tex]
Learn more about unitary method: https://brainly.com/question/19423643
