Question

justine just ran her first race. her distance from the finish line decreased as she ran. this situation can be modeled as a linear relationship. chart: y-axis: distance remaining (kilometers), x-axis: time spent running (minutes), line from (0,10) to (40,2) what does the y-intercept of the line tell you about the situation? options: justine finished the race in 40 minutes. when justine started the race, she was 10 kilometers from the finish line. after running for 20 minutes, justine was 6 kilometers from the finish line. justine ran 4 kilometers every 20 minutes.

Explanation:

Step1: Understand y - intercept

The y - intercept of a linear graph is the value of y when x = 0. In this context, the x - axis represents time spent running (in minutes) and the y - axis represents distance from the finish line (in kilometers).

Step2: Analyze x = 0 situation

When x = 0, it means the time spent running is 0 minutes, which is the start of the race. From the graph, when x = 0, y = 10. So this means at the start of the race (time = 0 minutes), the distance from the finish line is 10 kilometers.

Step3: Evaluate other options

• "Justine finished the race in 40 minutes" refers to the x - value when y = 2 (or near the end), not the y - intercept.
• "After running for 20 minutes, Justine was 6 kilometers from the finish line" is a point on the line (x = 20, y = 6), not the y - intercept.
• "Justine ran 4 kilometers every 20 minutes" is about the slope (rate of change), not the y - intercept.

Answer:

When Justine started the race, she was 10 kilometers from the finish line.