A black puppy weighed 12 ounces at birth and grows at a constant rate of 4 ounces per week. A white puppy weighed 8 ounces at birth and grows at a constant rate of 4 ounces per week. Is there a time when they will be the same weight?

Question

Write an equation that represents the weight of the white puppy in ounces, y, after x weeks.
Excellent!
Complete the table below with the weight of the white puppy, y, after 4, 6, and 8 weeks. You can solve on paper and then enter your answer on Zearn.
y=8+4x

Weeks (x) Weight in oz (y)
4
6
8

Answer 1

To find the weight of the white puppy after a certain number of weeks, we can use the equation you provided:

\[ y = 8 + 4x \]

where \( y \) is the weight of the white puppy in ounces and \( x \) is the number of weeks.

Next, we will calculate the weight of the white puppy for \( x = 4, 6, \) and \( 8 \) weeks:

1. For \( x = 4 \) weeks: \[ y = 8 + 4(4) = 8 + 16 = 24 \text{ ounces} \]

2. For \( x = 6 \) weeks: \[ y = 8 + 4(6) = 8 + 24 = 32 \text{ ounces} \]

3. For \( x = 8 \) weeks: \[ y = 8 + 4(8) = 8 + 32 = 40 \text{ ounces} \]

Now, we can complete the table:

| Weeks (x) | Weight in oz (y) | |-----------|-------------------| | 4 | 24 | | 6 | 32 | | 8 | 40 |

Now we can see the weights of the white puppy after 4, 6, and 8 weeks.