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+100=499 50 w plus 100 is equal to 499 50w=499 50 w is equal to 499 50w−100=499 50 w minus 100 is equal to 499 100w+50=499 100 w plus 50 is equal to 499

1 answer

To find the equation that represents Nina's savings, we start by noting that she has $100 from her birthday. Then, she plans to save $50 for each week, which we will represent with the variable \( w \) for the number of weeks.

The total amount Nina will have saved after \( w \) weeks is \( 50w + 100 \).

Since she needs a total of $499 to purchase the phone, we can set up the equation:

\[ 50w + 100 = 499. \]

So the correct response is:

50w + 100 = 499.