Given:
a.) Tony needs to purchase 9.6 meters of twine for a project.
b.) Each roll of tape contains 60cm and costs $3.
Step 1: Let's first determine how many rolls of tape will be needed.
![\text{ No. of Rolls = 9.6 (meters) x }\frac{1\text{ Roll}}{0.60\text{ (meters)}}\text{ ; 1 meter = 100 cm}](https://img.qammunity.org/2023/formulas/mathematics/college/sg3zthn8t1ygab48ycp9xwnp3mg7wl01fn.png)
![\text{ = 9.6 x }\frac{1\text{ Roll}}{0.60}](https://img.qammunity.org/2023/formulas/mathematics/college/m3t8iu24yhecry8hwtgdmwgp6a6xsyqzu7.png)
![\text{ = }(9.6)/(0.6)\text{ Roll}](https://img.qammunity.org/2023/formulas/mathematics/college/p2awwjlw0po5lraa662jcwuwejvp3eneob.png)
![\text{ = 16 Rolls}](https://img.qammunity.org/2023/formulas/mathematics/college/m4vqt3d5a41u0468fie4rethgocug293f5.png)
Therefore, Tony will be needing 16 rolls of twine.
Step 2: Let's determine the cost of 16 rolls of twine.
![\text{ Total Cost = 16 (rolls) x }\frac{\text{ \$3}}{1\text{ (roll)}}](https://img.qammunity.org/2023/formulas/mathematics/college/ejl2zfptwdq1w4itgk23bxas143p0xpq35.png)
![\text{ = 16 x \$3}](https://img.qammunity.org/2023/formulas/mathematics/college/so9lppat1x719gbxsvq6rg6uu0y6rpj3bk.png)
![\text{ Total Cost = \$48}](https://img.qammunity.org/2023/formulas/mathematics/college/3suorju62tofy06inm1nfogtro4rhfw6c9.png)
Therefore, the cost of the twine that Tony must buy is $48.