Question

Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.

The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.


(1, 3), (2, 6), (3, 12), (4, 24)


Write a function to represent the data.

Answer 1

The data can be represented using the linear equation y = 3x.

Step-by-step explanation:

The data representing the time Aurora took to complete tasks at various stations can be represented using a function. Let's use the point-slope form of a linear equation to represent the data. The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. To find the slope, we can use the formula (y2 - y1) / (x2 - x1) between any two points on the line.

Using the given points (1, 3) and (2, 6), the slope is (6-3)/(2-1) = 3. The equation for the data is y = 3x + b. We can substitute the coordinates of any point on the line to find the value of b. Let's substitute (1, 3): 3 = 3(1) + b. Solving for b, we get b = 0. Therefore, the function representing the data is y = 3x.