Question

the graph shows the increase in temperature over time in an oven.

what is the change in the \\(y\\)-values and \\(x\\)-values on the graph?

• the change in the \\(y\\)-values is 40 and the change in the \\(x\\)-values is 1.
• the change in the \\(y\\)-values is 1 and the change in the \\(x\\)-values is 40.
• the change in the \\(y\\)-values is 150 and the change in the \\(x\\)-values is 2.
• the change in the \\(y\\)-values is 190 and the change in the \\(x\\)-values is 3.

Explanation:

⚡ Using what you learned: Rate of Change and Applications

Step 1: Identify the given points

Identify the coordinates of the two plotted points on the line:

• Point 1: \((2, 150)\)
• Point 2: \((3, 190)\)

Step 2: Calculate the change in \(y\)-values

Subtract the \(y\)-coordinate of the first point from the \(y\)-coordinate of the second point:

$$\text{Change in } y = 190 - 150 = 40$$

Step 3: Calculate the change in \(x\)-values

Subtract the \(x\)-coordinate of the first point from the \(x\)-coordinate of the second point:

$$\text{Change in } x = 3 - 2 = 1$$

Answer:

The change in the \(y\)-values is 40 and the change in the \(x\)-values is 1.