At age 2, a cat or dog is considered 24 "human" years old. Each year after age 2 is equivalent to 4 "human" years. Fill in the expression [24 + X (a-2)] so that it represents the age of a cat or dog in human years. Copy the chart and use your expression to complete it.

Age 24+X(a-2) Age human years
2
3
4
5
6

With no definitions, it is difficult to know exactly what the teacher wanted but here is the best I can do. It is actually only a little more detailed explanation than the one given by Ms Sue and it takes into accout the factor of 4 years aging + the current age of the cat or dog.

Apparently, the teacher wants a to be the age of the cat or dog and X to be the constant of 4 years. At least that is my take on the problem.
The equation provided is
24 + X(a-2).
a = the age of cat or dog; i.e., 2, 3, 4, 5, 6, etc. in the equation.
X = 4 in the equation.
24 + 4(2-2) = 24+4(0)= 24+0=24
24 + 4(3-2) = 24+4(1)= 24+4=28
24 + 4(4-2) = 24+4(2)= 24+8=32
24 + 4(5-2) = 24+4(3)= 24+12=36
etc.

I do not understand this math problem at all. It is actually my son's, who is in 7th grade, and the teacher did not explain anything either. If someone could just explain how to figure this out, that would be great.

Age 2 = 24 years

Age 3 = 24 years + 4 years = 28 years
Age 4 = 28 years + 4 years = 32 years

And so on --

I have not done Alegbra in 30 years so I am quite rusty with it. It just did not occur to me to change the 24 to 28 and so on. Does that mean that X equals (a-2), which would be 4, and that a would be 6?

Thank you!

Thank you for having this online! My kid came home with this problem today. I have a Masters degree, but was still stumped! Time for some refresher courses...

Thank you for having this posted! My 7th grader had this exact problem and neither one of us could understand it.

So what your wanting to do is take the age from the charts say small dog 23 and pretty much just put the age for each size in ti this equation

Ex small dog 23+a(a-2)=23 dog years

To fill in the expression [24 + X(a-2)], we need to understand the given information. According to the explanation, at age 2, a cat or dog is considered 24 "human" years old. Each year after age 2 is equivalent to 4 "human" years.

So, the expression [24 + X(a-2)] represents the age of a cat or dog in human years. Let's use this expression to complete the chart.

Age | 24 + X(a-2) | Age in human years
2 | 24 + X(2-2) | 24 + X(0) = 24
3 | 24 + X(3-2) | 24 + X(1) = 24 + X
4 | 24 + X(4-2) | 24 + X(2) = 24 + 2X
5 | 24 + X(5-2) | 24 + X(3) = 24 + 3X
6 | 24 + X(6-2) | 24 + X(4) = 24 + 4X

To find the value of X, we need more information or context. It could be provided in the question itself or through additional information.