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

50w=499
50 w is equal to 499

100w+50=499

Answer 1

To represent Nina's savings towards earning her new phone, we start with the total cost of the phone, which is $499. She already has $100 saved from her birthday gift, and she plans to save $50 for each week, represented by \( w \).

The equation can be formed as follows:

1. The total amount she will have after \( w \) weeks is the $100 she already has plus the $50 she saves each week, which is expressed as \( 50w + 100 \).

2. This total amount should equal the cost of the phone, which is $499.

So the equation that represents Nina's savings is:

\[ 50w + 100 = 499 \]

Therefore, the correct response is:

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