A)
To find how many minutes per lap did Lin run, divide the amount of minutes over the amount of laps.
Since Lin ran six laps in nine minutes, then:
![\frac{9\text{ minutes}}{6\text{ laps}}=1.5\text{ minutes per lap}](https://img.qammunity.org/2023/formulas/mathematics/college/rp96d43jmvq0uftdlpcm3ihyzgar33oaqz.png)
B)
To find how many laps per minutes is that, divide the amount of laps over the amount of minutes:
![\frac{6\text{ laps}}{9\text{ minutes}}=0.666\ldots\text{ laps per minute}](https://img.qammunity.org/2023/formulas/mathematics/college/ay44kdo4woiytgf4tzm47xrsbvoorgrpi4.png)
C)
The amount of laps is given. Since it takes 1.5 minutes for Lin to run a single lap, multiply 21 times 1.5 to find the total amount of time that it takes for Lin to run 21 laps:
![21\text{ laps}*1.5\text{ minutes per lap}=31.5\text{ minutes}](https://img.qammunity.org/2023/formulas/mathematics/college/ysra5l73rzl3lbzimyzuc5iuip8ehykh5t.png)