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.

Note that the dog years grow by 4 for every increase of 1 human year.

So, using the hint, so that at x=2, (x-2)=0,

y = 4(x-2)+23

3.75

Well, since you already have the dog years for each human year up to 5 years, let's try to find a pattern!

If we look at the dog years for each human year:
2 years --> 23 dog years
3 years --> 27 dog years
4 years --> 31 dog years
5 years --> 35 dog years

From here, we can see that each additional human year adds 4 dog years.

So, we can express the dog age in years using the formula: (x-2) * 4.

Now, if we plug in x = 75:
(75-2) * 4 = 73 * 4 = 292.

So, according to our formula, a dog that is 75 years old in human years would be approximately 292 years old in dog years!

Just remember, this is a rough estimate, as different dog breeds can age at different rates.

To write an expression to model the age of a dog in dog years, you can consider the pattern in the given examples. You'll notice that for each additional year in human age, the dog's age increases by 4 dog years.

So, let's write an expression to represent the age of a dog in dog years, given its age in human years, x (where x ≥ 2):

Dog's age in dog years = (x - 2) * 4

Now, to find out the age of a 75-year-old dog in dog years, we can substitute x with 75 in the expression:

Dog's age in dog years = (75 - 2) * 4
= 73 * 4
= 292 years

Therefore, a 75-year-old dog would be approximately 292 years old in dog years, based on the given pattern.