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.

Question

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.
A) 50w = 499
B) 50w - 100 = 499
C) 50w + 100 = 499
D) 100w + 50 = 499

GPT-4o mini · Answer

To find an equation that represents Nina's savings towards earning her new phone, let's break down the information given:

The cost of the new phone is $499.
Nina has already received $100 for her birthday, which she will use towards the phone.
She plans to save $50 per week.

Let $ w $ represent the number of weeks Nina saves money. Each week, she adds $50 to her savings. After $ w $ weeks, the total amount she has saved will be $ 50w $.

Since she also has the $100 from her birthday, her total savings after $ w $ weeks can be expressed as:

\[ 50w + 100 \]

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

\[ 50w + 100 = 499 \]

This means the correct answer is:

C) $ 50w + 100 = 499 $