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: 20lbs 21‒50 51‒90 over 90
Age 2 in Human Years
small: 23 dog years
medium: 24 dog years
large: 22 dog years
giant:20 dog years
Age Increase Each Year After 2 in HumanYears:
small: 4 dog years
medium: 5 dog years
large: 6 dog years
giant: 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 (x2) 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 fora 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.
What I've got so far:
(see second chart for dog sizes. we're supposed to go off of this for choosing the breeds)
(20lbs)Small dog- maltese
(21-50lbs)Medium dog- border collie
(51-90lbs)Large dog- golden retreiver
(Over 90lbs)Giant dog-newfoundland
Could I have some help with the formulas? Thank you!
I got step 2 and i do recognize a pattern, but I'm having trouble coming up with the equations they want >_<
You've done step 1. Try step 2, which can be done manually (without formulas). Once you finish that, step 3 will seem easier because you may see some patterns in your table created in step 2, to help you figure out the formulas.
the parts i need help with are
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.
and
Use your solutions to develop a convincing argument for why the method
described in the chart is better than the traditional method.
Sure, I can help you with the formulas! Here are the expressions to model the age of each breed in dog years:
For the Maltese (small dog):
Dog years = 23 + 4(x - 2)
For the Border Collie (medium dog):
Dog years = 24 + 5(x - 2)
For the Golden Retriever (large dog):
Dog years = 22 + 6(x - 2)
For the Newfoundland (giant dog):
Dog years = 20 + 7(x - 2)
For step 4, you'll have to choose a really old age for people. Let's say we choose 80 years as a realistic old age for humans.
Now, let's plug in the value of 80 for x in each expression:
For the Maltese:
23 + 4(80 - 2) = A
For the Border Collie:
24 + 5(80 - 2) = A
For the Golden Retriever:
22 + 6(80 - 2) = A
For the Newfoundland:
20 + 7(80 - 2) = A
Now you can solve each equation to find the value of A, which represents the age in dog years for each breed when a human reaches 80 years old.
Once you have the solutions, you can add the old-age values to your table and use them to develop a convincing argument for why the method described in the chart is better than the traditional method. Don't forget to consider average lifespans for each breed to support your argument!
Hope that helps! Let me know if you need any further assistance.
Sure! I can help you with the formulas for calculating the dog years for each breed. Here's how you can write the expressions for each breed's age in dog years:
1. Small Dog (Maltese):
The expression to model the Maltese's age in dog years can be written as:
DogYears = 23 + 4(x - 2)
2. Medium Dog (Border Collie):
The expression to model the Border Collie's age in dog years can be written as:
DogYears = 24 + 5(x - 2)
3. Large Dog (Golden Retriever):
The expression to model the Golden Retriever's age in dog years can be written as:
DogYears = 22 + 6(x - 2)
4. Giant Dog (Newfoundland):
The expression to model the Newfoundland's age in dog years can be written as:
DogYears = 20 + 7(x - 2)
In these expressions, x represents the age of the dog in human years. By subtracting 2 from the age, we account for the first 2 human years that are already converted to dog years according to the chart.
For step 5, you need to choose an old age for a human and plug it into each expression, setting it equal to A. Then, solve each equation to find the dog's age in dog years at that old age.