Final answer:
To express how many weeks Jamie needs to save to buy a new phone, the equation is 12w = 258 - 16. Jamie needs to save for approximately 20.17 weeks (or 21 weeks if rounded up) to buy a new phone.
Step-by-step explanation:
The correct equation to express how many weeks Jamie needs to save in order to buy a new phone is C) 12w = 258 - 16.
- First, we need to set up the equation by setting the total amount she needs to save to the cost of the phone minus the amount she already has: $258 - $16 = $242.
- Next, we set up the equation by equating the amount she saves each week (12w) to the remaining amount she needs to save ($242): 12w = 242.
- We simplify the equation by dividing both sides by 12 to solve for w: w = 242 ÷ 12 = 20.17 (rounded to 2 decimal places).
Therefore, Jamie needs to save for approximately 20.17 weeks (or 21 weeks if rounded up) in order to buy a new phone.