Answer:
Option a. is correct.
Step-by-step explanation:
Given: Total amount with Tony is 60$. Pennants cost $7.50 and hats cost $11.99.
To find: inequality that represents number of pennants bought by Tony if three of tony's grand kids want hats
Solution:
p denotes number of pennants and h denotes number of hats.
As three of tony's grand kids want hats, [tex]h=3[/tex]
Total cost of 3 hats = [tex]3(11.99)=\$35.97[/tex]
Cost of one pennant = $7.50
According to question,
[tex]35.97+7.50p\leq 60\\7.50p\leq 60-35.97\\7.50p\leq 24.03\\p\leq \frac{24.03}{7.50}=3.204[/tex]
Also, being number of pennants, [tex]0\leq p[/tex]
So, inequality that represents number of pennants Tony can buy is [tex]0\leq p\leq 3.204[/tex]
Option a. is correct.
