Answer: 14 weeks
Step-by-step explanation:
The given equation : [tex]t=25+8.25w[/tex], where w represents the number of weeks.
Aaliyah needs $135.75 for a television.
To find the number of weeks (w) will it take her to save enough money to buy a television , we put t=135.75 in the above equation we get
[tex]135.75=25+8.25w\\\\\Rightarrow\ 8.25w=135.75-25\\\\\Rightarrow\ 8.25 w=110.75\\\\\Rightarrow\ w=\dfrac{110.75}{8.25}=13.4242424242\approx14[/tex]
Hence, it will take 14 weeks to save enough money to buy a television.