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.]
the dogs are
2yrs: 23 yrs old
3yrs: 27 yrs old
4yrs: 31 yrs old
5yrs: 35 yrs old
75yrs: ?
I'm having trouble writing the expressions,so I can find out what's the expression/answe for 75 years.
looks like each added dog year is 4 human years.
Human=4(x-2)+B
first data point 2,23 indicates B is 23
checking: 35=?=4(5-2)+23=35 checks
now for 75
75=4(x-2)+23
75-23=4x-8
60=4x
x (dog years)=15
To write the expressions to model the age of the dog in dog years, we can observe a pattern in the given ages. We see that for each year in dog age, the human age increases by 4. Therefore, we can write the expression as:
Age in dog years = 23 + 4(x - 2)
where x represents the number of years in human age.
Now, using this expression, we can find the age of the dog when it is 75 years old:
Age in dog years = 23 + 4(75 - 2)
Simplifying this expression:
Age in dog years = 23 + 4(73)
Age in dog years = 23 + 292
Age in dog years = 315
So, when the dog is 75 human years old, it is approximately 315 dog years old.