Given:
Free ice cream maker to anyone who spends at least $100 on buckets of ice cream and frozen yogurt.
Each bucket of ice cream costs $7.28
Each bucket of frozen yogurt costs $8.21.
To find:
The inequality represents number of ice cream and frozen yogurt that she may buy in addition to get a free ice cream maker.
Solution:
Let i be the number of buckets of ice cream and y be the number of buckets of frozen yogurt.
According to the question, total amount spend on both must be greater than or equal to $100 to get a free ice cream maker.
[tex]7.28i+8.21y\geq 100[/tex]
[tex]8.21y\geq 100-7.28i[/tex]
Divide both sides by 8.21.
[tex]y\geq \dfrac{100-7.28i}{8.21}[/tex]
Therefore, the required inequality is [tex]y\geq \dfrac{100-7.28i}{8.21}[/tex].