Question

Study the graph.What is true according to the information in the graph.

Answer 1

A graph with a positive slope and a y-intercept of 50 shows a consistent upward trend as the x-value increases, which can apply to linear relationships across various subjects.

Step-by-step explanation:

Understanding graphs and identifying trends is an essential skill in mathematics. When analyzing a graph with a positive slope and a y-intercept of 50, it indicates that as the x-value increases, the y-value also increases, reflecting a consistent upward trend in the data. This scenario typically applies to linear relationships in data, where a straight line can effectively summarize the trend observed in the scattered data points.

Trend lines on graphs are used to visualize and communicate the general direction of the data. The slope of the trend line indicates the rate of change, with a positive slope meaning an increase. In contrast, a y-intercept is the value at which the line crosses the y-axis, providing a starting point for the data set.

Examples of Graph Analysis

• In a position vs. time graph, a positive slope would indicate an object is moving away from the starting point as time progresses.
• In economics, a supply curve with a positive slope may indicate that as the price increases, the quantity supplied also increases.
• In biology, a graph showing the concentration of a first messenger over time may have a positive slope if the concentration is rising.

Answer 2

The enthalpy of the reaction is positive. (second option)

Explanation:

When the products have more energy than the reactants, it means that the reaction is endothermic, so it needs energy and the enthalpy in this case is positive.

So, the true according to the information in the graph is "The enthalpy of the reaction is positive".