Bob has three sacks of apples and three more apples in his pocket. Each sack contains the same number of apples. Altogether, Bob has 33 apples. How many apples are in each sack? what is the domain and range

10 * 3 + 3 = 33

so 10

domain and range do not make a lot of sense to me here but
sacks domain is 0 to 3
apples range from 0 to 33

Oh, well you have to give me the whole question

apples = m * sacks + b

y = m x + b

33 = m * 3 + 3

m = 30/3 = 10 apples/sack

range is 0 to 33 and domain 0 to 3

whoops, range is 3 to 33 because y = 3 when x = 0

To solve this problem, we can set up a simple equation.

Let's assume the number of apples in each sack is represented by the variable 'x'.

Given that Bob has three sacks of apples, we can express the total number of apples in the sacks as 3x.

Additionally, we are told that Bob has three more apples in his pocket. So we can add 3 to the total.

The total number of apples is given as 33. Therefore, we can write the equation as:

3x + 3 = 33

To solve for x, we need to isolate it on one side of the equation. Here's how we can do that:

3x + 3 - 3 = 33 - 3
3x = 30
Divide both sides of the equation by 3 to get the value of x:
x = 10

Therefore, each sack contains 10 apples.

Now, let's talk about the domain and range in this context:

The domain refers to the set of possible values that the variable(s) can take. In this case, the variable 'x' represents the number of apples in each sack. The acceptable values for 'x' would be a positive whole number since sacks cannot contain a fractional or negative number of apples. So the domain would be {1, 2, 3, ...}.

The range, on the other hand, refers to the set of possible values that the output(s) can take. In this case, the output is the total number of apples. The total number of apples depends on the value of 'x' (the number of apples in each sack), and it can vary based on that. In this particular problem, since each sack contains the same number of apples and we are given that Bob has 33 apples in total, the range would be {33} since the total number of apples can only be 33 in this case.