Question

ann had an ice sculpture delivered for her parents anniversary party. the sculpture got shorter as it melted. this situation can be modeled as a linear relationship. chart: x-axis: time after delivery (minutes), y-axis: height (inches), line graph with y-intercept at (0,14) what does the y-intercept of the line tell you about the situation?

Explanation:

Step1: Understand y - intercept meaning

The y - intercept of a linear equation \(y = mx + b\) (where \(m\) is the slope and \(b\) is the y - intercept) occurs when \(x = 0\). In the context of this graph, the x - axis represents time after delivery (in minutes) and the y - axis represents the height of the ice sculpture (in inches). When \(x = 0\), it means the time is 0 minutes after delivery, i.e., the time of delivery.

Step2: Analyze the graph's y - intercept

Looking at the graph, when \(x = 0\) (time = 0 minutes, at delivery), the value of \(y\) (height) is 14 inches. So the y - intercept of 14 inches tells us the height of the ice sculpture at the time it was delivered (when no time had passed since delivery).

Answer:

The y - intercept (which is 14 inches) tells us that the height of the ice sculpture at the time of its delivery (when \(x = 0\) minutes, or 0 minutes after delivery) was 14 inches.