Nina is saving up to purchase a new phone. The new phone costs $499. Nina received $100 for her birthday and plans to put that towards the new phone. To save the rest of the money, Nina plans to put aside $50 per week until she has saved enough to purchase the phone. Write an equation that represents Nina's savings towards earning her new phone. Use w to represent the number of weeks. (1 point) Responses 50w=49950w=49950 w is equal to 499 50w−100=49950w−100=49950 w minus 100 is equal to 499 100w+50=499100w+50=499100 w plus 50 is equal to 499 50w+100=49950w+100=49950 w plus 100 is equal to 499

Answer 1

To represent Nina's savings towards earning her new phone, we can start by considering how much she needs to save and the contributions she is making.

1. The cost of the phone is $499.
2. Nina received $100 for her birthday, so she still needs to save \( 499 - 100 = 399 \) dollars.
3. She plans to save $50 per week, so after \( w \) weeks, she will have saved \( 50w \) dollars.

Putting this all together, the equation that represents Nina's savings towards earning her new phone is:

\[ 50w = 399 \]

This equation shows that the amount Nina saves each week multiplied by the number of weeks will equal the amount she still needs after her birthday money is subtracted from the total price of the phone.