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.

Answer 1

To express Nina's savings towards purchasing the new phone, we need to account for both the initial amount she received for her birthday and the amount she plans to save weekly.

Nina received $100 for her birthday, and she plans to save $50 per week. If we let \( w \) represent the number of weeks, the amount she saves after \( w \) weeks will be \( 50w \).

The total amount Nina has saved after \( w \) weeks can be represented by the equation:

\[ \text{Total Savings} = 100 + 50w \]

Nina needs a total of $499 to buy the phone, so we can set up the equation:

\[ 100 + 50w = 499 \]

This equation represents Nina's total savings in relation to the number of weeks she saves money.