Answer :
The inequality to find the number of bagels nick can buy is [tex]0.75b + 1.29 \leq 7[/tex] where "b' is the number of bangles he can buy
Solution:
Given that Nick has 7.00$
Bagels cost 0.75$ each and a small container of cream cheese is 1.29$
To find: inequality that represents the number of bangles nick can buy
Let "b" represent the number of bangles he can buy
Given that small container of cream cheese is 1.29$. Assuming that one small container of cream cheese is $ 1.29
Cost of 1 bangle = $ 0.75
Then, cost of "b" bangles = $ 0.75b
The inequality is framed as:
cost of "b" bangles + cost of 1 container of cream cheese must be less than or equal to 7.00
Here "less than or equal to " is used because the amount he spends must be less than or equal to 7
[tex]0.75b + 1.29 \leq 7[/tex]
Thus the inequality is found
On solving,
[tex]0.75b + 1.29 \leq 7\\\\0.75b\leq 5.71\\\\b\leq 7.61[/tex]
So the number of bangles he can buy is [tex]b \leq 7[/tex]