Question

A party planner organized a dinner party. The party planner recorded the height of the candlesticks over time and graphed the relationship.

graph with the x axis labeled time in hours and the y axis labeled height of candlestick in inches and a line going from the point 0 comma 9 through the point 2 comma 6

Find and interpret the slope and y-intercept in this real-world situation.

The slope is negative two thirds, and the y-intercept is 9. The candle starts at a height of 9 inches and decreases two thirds of an inch every hour.
The slope is negative three halves, and the y-intercept is 9. The candle starts at a height of 9 inches and decreases three halves of an inch every hour.
The slope is 9, and the y-intercept is negative two thirds. The candle starts at a height of two thirds of an inch and decreases 9 inches every hour.
The slope is 9, and the y-intercept is negative three halves. The candle starts at a height of three halves of an inch and decreases 9 inches every hour.

Answer 1

The slope of the graph represents the change in height of the candlestick over time. The y-intercept represents the initial height of the candlestick.

Step-by-step explanation:

In this real-world situation, the slope of the graph represents how the height of the candlestick changes over time. The slope can be calculated by finding the change in the height of the candlestick divided by the change in time. In this case, the slope is -2/3, which means that the height of the candlestick decreases by 2/3 of an inch every hour.

The y-intercept of the graph represents the initial height of the candlestick when time is 0. In this case, the y-intercept is 9 inches, which means that the candlestick starts at a height of 9 inches.

Answer 2

A : The slope is negative two thirds, and the y-intercept is 9. The candle starts at a height of 9 inches and decreases two thirds of an inch every hour.

Step-by-step explanation:

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