Christian receives a gift card to a diner with a balance of $40. He uses it once a week to buy his favorite lunch for $8.00. The balance on the gift card, b, after w weeks can be represented by the equation b=40−8w.

Question

Complete the table to find the balance on the gift card after different times in weeks. You can solve on paper and then enter your answers on Zearn.
w, the number of weeks
Input Output Arrow
40−8w
Input Output Arrow
b, the gift card balance
b=40−8w

w, number of weeks b, gift card balance
2
3
4

Answer 1

To find the gift card balance \( b \) after \( w \) weeks, you can use the equation \( b = 40 - 8w \). Let's calculate the balance for each specified week:

1. For \( w = 2 \): \[ b = 40 - 8(2) = 40 - 16 = 24 \]

2. For \( w = 3 \): \[ b = 40 - 8(3) = 40 - 24 = 16 \]

3. For \( w = 4 \): \[ b = 40 - 8(4) = 40 - 32 = 8 \]

Now, we can fill in the table:

| w (number of weeks) | b (gift card balance) | |---------------------|-----------------------| | 2 | 24 | | 3 | 16 | | 4 | 8 |

So the balance on the gift card after 2 weeks is $24, after 3 weeks is $16, and after 4 weeks is $8.