The slope of the equation y = 12 + 0.6x is 0.6, indicating that the sunflower grows by 0.6 cm per day. The y-intercept is 12, representing the initial height of the sunflower (12 cm) at the time of transplanting.
Step-by-step explanation:
The equation provided, y = 12 + 0.6x, represents the growth of a sunflower over time. Here, y is the height of the sunflower in centimeters, and x represents the number of days since the sunflower was transplanted.
The slope of the line is 0.6, which indicates that for each day that passes, the sunflower grows by 0.6 centimeters. This consistent rate of growth is seen as a steady increase in height on the graph of the equation. The y-intercept is 12, meaning that when x is zero (the day the sunflower was transplanted), the height of the sunflower was 12 centimeters.
The significance of the slope is that it measures the rate of growth of the sunflower each day. The y-intercept signifies the initial height of the sunflower at the starting point of observation (day of transplanting).
The probable question can be:
"Interpret the slope and y-intercept: The height of the sunflower in Julia's garden is measured by the equation y = 12 + 0.6x, where y is the height in centimeters, and x is the number of days since the sunflower was transplanted. Explain the significance of the slope and y-intercept in the context of the sunflower's growth."