Answer:
Mike's bicycle covers 77 inches in one turn.
Explanation:
The distance a bicycle travel is given by the relation;
![Distance=3(1)/(7) * diameter](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bwk5w08q00drv5fq69bnyt92n1gspkrkk5.png)
If Mike's bicycle has a diameter of
inches;
Then the distance it covers in each turn is;
![Distance=3(1)/(7)* 24(1)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/s7t7zjl26z97qgxkyze5hthbu01vje80pv.png)
We convert to improper fractions to obtain;
![Distance=(22)/(7)* (49)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6m0rflsvzya2emvficut7q16zlpbq80fbd.png)
We cancel out the common factors to get;
![Distance=(11)/(1)* (7)/(1)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/yfci8p5ntti82ynmt9y7x0j39oyvp0fe6v.png)
![Distance=77](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8prs6a9kr4fo5ri19ahb6twiqk8lfwh4kw.png)
Therefore Mike's bicycle covers 77 inches in one turn.