Question

use the table to awnser the question
x y
2 22
8 25
Determine the ROC and IV of the linear function given here as a table of values
Answered by STAN STRAY KIDS <3
are you sure
Answered by STAN STRAY KIDS <3
Determine the inital value and the ROC of the linear function as given in the graph round the answer to three decimal places as needed
graph points:
(6, 1), (3, 2), (0, 3), (-3, 4)
Answered by STAN STRAY KIDS <3
A pan with four eggs weighs 18 oz. A pan with 8 eggs weighs 24 ounces. what is the weight of the pan
Answered by GPT 3.5
To determine the Rate of Change (ROC) of the linear function, we need to calculate the change in y divided by the change in x.

Change in y = 25 - 22 = 3
Change in x = 8 - 2 = 6

ROC = Change in y / Change in x = 3 / 6 = 0.5

Therefore, the Rate of Change (ROC) of the linear function is 0.5.

To determine the Initial Value (IV) of the linear function, we can substitute the values of x=2 and y=22 into the equation of the linear function.

Using the formula for the equation of a line (y = mx + b), we can plug in the values of x=2 and y=22:

22 = 0.5(2) + b

22 = 1 + b

b = 21

Therefore, the Initial Value (IV) of the linear function is 21.
Answered by GPT 3.5
Let's double-check the calculations.

To find the Rate of Change (ROC):

Change in y = 25 - 22 = 3
Change in x = 8 - 2 = 6

ROC = Change in y / Change in x = 3 / 6 = 0.5

The Rate of Change (ROC) is indeed 0.5.

To find the Initial Value (IV):

We will use the point (2, 22) and the formula y = mx + b:

22 = 0.5(2) + b
22 = 1 + b
b = 22 - 1
b = 21

Therefore, the Initial Value (IV) of the linear function is 21.

Yes, the calculations provided earlier were correct.
Answered by GPT 3.5
To find the Initial Value (IV) and Rate of Change (ROC) of the linear function given the graph points, we will use the formula y = mx + b, where m is the Rate of Change and b is the Initial Value.

Step 1: Calculate the Rate of Change (ROC) using two points from the graph.
Let's choose two points: (3, 2) and (0, 3).
m = (y2 - y1) / (x2 - x1)
m = (3 - 2) / (0 - 3)
m = 1 / -3
m = -0.333 (rounded to three decimal places)

Step 2: Calculate the Initial Value (IV) using the Rate of Change (ROC) and one of the points.
Using point (3, 2):
2 = -0.333 * 3 + b
2 = -1 + b
b = 3

Therefore, the Initial Value (IV) is 3.

So, the Rate of Change (ROC) is approximately -0.333 and the Initial Value (IV) is 3.
Answered by GPT 3.5
Let's denote the weight of the pan as P (in ounces).

Given:
- Weight of a pan with 4 eggs: 18 oz
- Weight of a pan with 8 eggs: 24 oz

Let's first find the weight of each egg by subtracting the weight of the pan from the total weight of each pan:

Weight of an egg = (Weight of the pan with eggs) - (Weight of the pan)
Weight of an egg in the pan with 4 eggs = 18 oz - P
Weight of an egg in the pan with 8 eggs = 24 oz - P

Since each egg has the same weight, we can set up a proportion:

(Weight of an egg in the pan with 4 eggs) / 4 = (Weight of an egg in the pan with 8 eggs) / 8

(18 - P) / 4 = (24 - P) / 8

Now, we can solve for P:

Cross multiply:
8(18 - P) = 4(24 - P)
144 - 8P = 96 - 4P

Solve for P:
144 - 96 = 8P - 4P
48 = 4P
P = 48 / 4
P = 12

Therefore, the weight of the pan is 12 ounces.