Dog Debate

UNIT NAME: EQUATIONS AND INEQUALITIES
Directions: The traditional method for calculating a dog's age in dog years is to
multiply its age in human years by 7. The chart below describes a different method
some veterinarians use to estimate a dog's age based on its size.
Size Small Medium Large Giant
Weight 20 pounds
or less
21‒50
pounds
51‒90
pounds
more than 90
pounds
Age at 2 in
Human Years
23 dog years 24 dog years 22 dog years 20 dog years
Age Increase
Each Year
After 2 in
Human Years
4 dog years 5 dog years 6 dog years 7 dog years
1. Choose a dog breed in each size category. You can use the dog breed charts
on the following page or do research to choose a different breed.
2. Complete a table to show the dog year equivalent for each breed from 2–5
human years.
3. Let x equal the age, in human years, for a dog that is 2 years old or older.
For each of your chosen breeds, write an expression to model its age in dog
years. [Hint: Use (x 2) in each expression.]
4. Choose what you consider to be a really old, but realistic, age for people.
5. For each expression you write, plug in the value you chose in step 4—an old age for a
human—for x. Set each expression equal to A.
6. Solve each equation, and explain what the solution means. Add the old-age
values to your table.
7. Use your solutions to develop a convincing argument for why the method
described in the chart is better than the traditional method.
8. You may wish to do research to find the average lifespan for each dog breed
and use those facts in your argument.
Use your table, equations, solutions, and arguments to create your debate
presentation. Your presentation can be written, but you could also use slide
presentation software or create a video of yourself giving the presentation. Your
completed presentation will be submitted as your portfolio assessment

Chihuahua
(x -2)/4
English springer spaniel
(x -2)/5
German shepherd
(x -2)/6
Saint Bernard
(x -2)/ 7

I consider 80 to be really old, but as im thinking this through it is more likely that more people live to 60 than they do 80. So even though it is not ‘’really old’’ 60 will be more believeable.

Chihuahua (A)
(60 -2)/4 =A
English springer spaniel (B)
(60 -2)/5 =A
German shepherd (C)
(60 -2)/6 =A
Saint Bernard (D)
(60 -2)/ 7 =A

{A} (60 -2)/4 = 14.5
{B} (60 -2)/5 = 11.5
{C} (60 -2)/6 = 9.6…..
{D} (60 -2)/ 7 = 8.2….

soooooooooo what's the method???

Step 1: Choose a dog breed in each size category.

Small: Chihuahua
Medium: English Springer Spaniel
Large: German Shepherd
Giant: Saint Bernard

Step 2: Complete a table to show the dog year equivalent for each breed from 2–5 human years.

Dog Breed | 2 Years | 3 Years | 4 Years | 5 Years
---------|---------|---------|---------|---------
Chihuahua | 23 dog years | 27 dog years | 31 dog years | 35 dog years
English Springer Spaniel | 24 dog years | 29 dog years | 34 dog years | 39 dog years
German Shepherd | 22 dog years | 28 dog years | 34 dog years | 40 dog years
Saint Bernard | 20 dog years | 27 dog years | 34 dog years | 41 dog years

Step 3: Write an expression to model the age of each breed in dog years using (x - 2), where x is the age in human years.

Chihuahua: (x - 2)/4
English Springer Spaniel: (x - 2)/5
German Shepherd: (x - 2)/6
Saint Bernard: (x - 2)/7

Step 4: Choose a realistic old age for people.

Let's assume 60 years old is a realistic old age for people.

Step 5: Plug in the value chosen in step 4 (60) into each expression and set it equal to A.

Chihuahua: (60 - 2)/4 = A
English Springer Spaniel: (60 - 2)/5 = A
German Shepherd: (60 - 2)/6 = A
Saint Bernard: (60 - 2)/7 = A

Step 6: Solve each equation to find the value of A and explain what the solution means.

Chihuahua: (60 - 2)/4 = 14.5 dog years
This means that a Chihuahua that is 60 years old in human years would be approximately 14.5 years old in dog years.

English Springer Spaniel: (60 - 2)/5 = 11.5 dog years
This means that an English Springer Spaniel that is 60 years old in human years would be approximately 11.5 years old in dog years.

German Shepherd: (60 - 2)/6 = 9.6 dog years
This means that a German Shepherd that is 60 years old in human years would be approximately 9.6 years old in dog years.

Saint Bernard: (60 - 2)/7 = 8.2 dog years
This means that a Saint Bernard that is 60 years old in human years would be approximately 8.2 years old in dog years.

Step 7: Use the solutions to develop a convincing argument for why the method described in the chart is better than the traditional method.

By considering the average lifespan of each dog breed, we can see that the method described in the chart provides a more accurate estimation of a dog's age in dog years compared to the traditional method of multiplying by 7. For example, a Chihuahua that is 60 years old in human years would only be 14.5 years old in dog years, which aligns more closely with the expected lifespan of a Chihuahua. The same applies to the other breeds as well. This method takes into account the size and weight of the dog, which can affect their lifespan. It provides a more specific and accurate estimation based on the breed's typical age increase each year after 2 in human years.

Step 8: Research the average lifespan of each dog breed and use those facts to support your argument.

For Chihuahuas, the average lifespan is around 14-16 years. By using the chart's method, we estimated that a 60-year-old Chihuahua would be around 14.5 years old in dog years, which aligns with their average lifespan.

For English Springer Spaniels, the average lifespan is around 10-14 years. By using the chart's method, we estimated that a 60-year-old English Springer Spaniel would be around 11.5 years old in dog years, which also aligns with their average lifespan.

For German Shepherds, the average lifespan is around 9-13 years. By using the chart's method, we estimated that a 60-year-old German Shepherd would be around 9.6 years old in dog years, which once again aligns with their average lifespan.

For Saint Bernards, the average lifespan is around 8-10 years. By using the chart's method, we estimated that a 60-year-old Saint Bernard would be around 8.2 years old in dog years, which aligns with their average lifespan.

This shows that the method described in the chart provides more accurate estimations of a dog's age in dog years based on its size and weight, taking into account the breed's average lifespan.

By using this method, veterinarians can provide more tailored and appropriate care for dogs based on their age in dog years, leading to improved overall health and well-being.

Overall, the chart's method provides a more precise and reliable way to estimate a dog's age in dog years compared to the traditional method of simply multiplying by 7, as it takes into account the dog's size and weight, and aligns with the breed's average lifespan.

To solve this problem, you will need to follow a series of steps:

1. Choose a dog breed in each size category. You can use the dog breed charts provided or do some research to choose a different breed.

2. Complete a table to show the dog year equivalent for each breed from 2–5 human years. This will involve applying the given formula for each breed.

3. Let x equal the age, in human years, for a dog that is 2 years old or older. For each chosen breed, write an expression to model its age in dog years. The given hint suggests using (x-2) in each expression because the chart starts calculating the dog's age from 2 human years.

4. Choose what you consider to be a really old, but realistic, age for people. In this case, you have chosen 60 as the age.

5. For each expression you wrote in step 3, plug in the value you chose in step 4 (60) to represent an old age for a human. Set each expression equal to A (the dog's age in dog years).

6. Solve each equation for A, and explain what the solution means. Add the old-age values to your table. In this case, you have already solved the equations in the last part of your question for each breed: A = 14.5 for Chihuahua, A = 11.5 for English springer spaniel, A = 9.6 for German shepherd, and A = 8.2 for Saint Bernard.

7. Use your solutions to develop a convincing argument for why the method described in the chart is better than the traditional method. You may want to do some research on the average lifespan of each breed to support your argument.

8. Finally, use your table, equations, solutions, and arguments to create your debate presentation. Your presentation can be written, or you can use slide presentation software or create a video to deliver your presentation.

Overall, the steps involve choosing dog breeds, applying the given formula to calculate dog years, selecting an old age for humans, solving the equations for the chosen age value, and using the results to argue the superiority of the chart's method over the traditional method. Don't forget to gather additional information on the lifespan of different dog breeds to strengthen your argument.