Answer:
![Distance = 39.2](https://img.qammunity.org/2021/formulas/mathematics/college/2vb664fuf5l5gwqzd5omk9670fopwxwded.png)
Explanation:
Given
![Distance = 6ft;\\ Time = 15seconds](https://img.qammunity.org/2021/formulas/mathematics/college/p93dl2l0q70u4rif5agm06mn2fo0ljh7sh.png)
Required
Determine the distance covered in 98 seconds
To solve this, the following assumption must be made:
- The peacock walks at a constant speed
So, first we calculate the speed
![Speed = (Distance)/(Time)](https://img.qammunity.org/2021/formulas/chemistry/middle-school/vz6zld215t6korory4ppojj5nooe2s3dg3.png)
Substitute 6 for Distance and 15 for Time
![Speed = (6)/(15)](https://img.qammunity.org/2021/formulas/mathematics/college/o7cpasc3xl56yir7tnnohb82kwqo8y3vm2.png)
![Speed = 0.40](https://img.qammunity.org/2021/formulas/mathematics/college/aq49vcgfec5q7c2m94fnl83xtj0m3g74cg.png)
Next, is to calculate the required distance
![Speed = (Distance)/(Time)](https://img.qammunity.org/2021/formulas/chemistry/middle-school/vz6zld215t6korory4ppojj5nooe2s3dg3.png)
In this case:
because it is constant and
![Time = 98](https://img.qammunity.org/2021/formulas/mathematics/college/9f9twfsy3fx2jb2rq89kue2uwfk35bbfta.png)
The expression becomes:
![0.40 = (Distance)/(98)](https://img.qammunity.org/2021/formulas/mathematics/college/kctvomt0nhky0skf1qbf190dtuyy9lkqyy.png)
Make Distance the subject:
![Distance = 0.40 * 98](https://img.qammunity.org/2021/formulas/mathematics/college/y6owe1r5yir1ejb0oj0oe7xy836alh2erd.png)
![Distance = 39.2](https://img.qammunity.org/2021/formulas/mathematics/college/2vb664fuf5l5gwqzd5omk9670fopwxwded.png)
The peacock will walk 39.2 feet in 98 seconds