A black puppy weighed 5 ounces at birth and grows at a constant rate of 5 ounces per week. A white puppy weighed 10 ounces at birth and grows at a constant rate of 5 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.
Nice!
Complete the table below with the weight of the white puppy, y, after 3, 5, and 7 weeks. You can solve on paper and then enter your answer on Zearn.
y=10+5x

Weeks (x) Weight in oz (y)
3
5
7
Great job!
Next, graph the points you just found on the coordinate plane to show the relationship between x, the number of weeks, and y, the weight in ounces of the white puppy.
Weeks (x) Weight in oz (y)
3 25
5 35
7 45
Great job!
Now, consider the black puppy. Write an equation that represents the weight of the black puppy in ounces, y, after x weeks.
Excellent!
Complete the table below with the weight of the black puppy, y, after various numbers of weeks, x. You can solve on paper and then enter your answer on Zearn.
y=5+5x

Weeks (x) Weight in oz (y)
3
5
7

Answer 1

To establish the weight of the black puppy after \( x \) weeks, we can use the following equation, which accounts for its birth weight and growth rate:

\[ y = 5 + 5x \]

Now, we can complete the table for the black puppy's weight after 3, 5, and 7 weeks:

Black Puppy Weight Calculation:

1. At 3 weeks: \[ y = 5 + 5(3) = 5 + 15 = 20 \text{ ounces} \]

2. At 5 weeks: \[ y = 5 + 5(5) = 5 + 25 = 30 \text{ ounces} \]

3. At 7 weeks: \[ y = 5 + 5(7) = 5 + 35 = 40 \text{ ounces} \]

Black Puppy Weight Table:

| Weeks (x) | Weight in oz (y) | |-----------|-------------------| | 3 | 20 | | 5 | 30 | | 7 | 40 |

Now you have the completed weights of the black puppy after 3, 5, and 7 weeks!