Question

A pan with 2 eggs weighs 9 ounces. A pan with 4 eggs weighs 12 ounces what is the weight of the pan?

Answer 1

The weight of the eggs can be found by subtracting the weight of the pan from the total weight of eggs and pan:
For the pan with 2 eggs: 9 ounces - Pan weight = Weight of 2 eggs
For the pan with 4 eggs: 12 ounces - Pan weight = Weight of 4 eggs

Since the eggs weigh 12 ounces in total for the pan with 4 eggs:
12 ounces - Pan weight = 4 eggs

Given that the eggs weigh 9 ounces in total for the pan with 2 eggs:
9 ounces - Pan weight = 2 eggs

Divide the equations by 2 to find the weight of one egg:
4.5 ounces - Pan weight/2 = 1 egg
4.5 ounces - Pan weight = 2 eggs

Substitute the 2 egg equation into the 4 egg equation:
4.5 ounces - Pan weight = 2(4.5 ounces - Pan weight/2)
4.5 ounces - Pan weight = 9 ounces - Pan weight
0 = 4.5 ounces

The weight of the pan must be 4.5 ounces.

Answer 2

A. 6 oz.
B. 12 oz.
C. 9 oz.
D. 3 oz.

Answer 3

To find the weight of the pan, we can subtract the weight of the eggs from the total weight given:

For the pan with 2 eggs:
Total weight = 9 oz
Weight of 2 eggs = 9 oz - Pan weight
Weight of 1 egg = (9 oz - Pan weight) / 2

For the pan with 4 eggs:
Total weight = 12 oz
Weight of 4 eggs = 12 oz - Pan weight
Weight of 1 egg = (12 oz - Pan weight) / 4

Now, we can set up an equation with the information above:

(9 oz - Pan weight) / 2 = (12 oz - Pan weight) / 4

Solving this equation will give us the weight of the pan:

18 oz - 2*Pan weight = 12 oz - Pan weight
18 oz - 12 oz = 2*Pan weight - Pan weight
6 oz = Pan weight

Therefore, the weight of the pan is 6 oz.

So, the answer is:

A. 6 oz.

Answer 4

Which is a linear function?

A. y = x^2
B. y = mx + b
C. y = x^3
D. y = |x|

Answer 5

The linear function is typically represented in the form y = mx + b, where m is the slope of the line and b is the y-intercept.

Therefore, the linear function among the options is:

B. y = mx + b

The other options (A, C, and D) do not follow the linear function form.