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.

Question

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 minus 100 is equal to 499

50w=499
50 w is equal to 499

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

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

Answer 1

To write an equation that represents Nina's savings towards earning her new phone, we need to account for the $100 she already has and the $50 she plans to save each week.

Let \( w \) represent the number of weeks. The total amount she will save after \( w \) weeks is \( 50w \). Since she already has $100 from her birthday, the equation representing her total savings towards the phone would be:

\[ 50w + 100 = 499 \]

So the correct response is:

50w + 100 = 499
(50 w plus 100 is equal to 499)