The equation that best represents Taryn's experiment is y = 2x + 1. This equation captures the linear relationship between the number of minutes and the tablespoons of sugar in the solution.
The equation that best represents Taryn's situation is y = 2x + 1.
The graph shows a linear relationship between the number of minutes (x) and the tablespoons of sugar (y). The line has a positive slope, indicating that as the number of minutes increases, the amount of sugar in the solution also increases.
The line intersects the y-axis at 1, meaning that there is already 1 tablespoon of sugar in the solution before any additional sugar is added.
The equation y = 2x + 1 captures this linear relationship and matches the given information:
The coefficient of x (2) represents the slope of the line, indicating that for every 1-minute increase in time, there is a 2-tablespoon increase in sugar.
The constant term (1) represents the y-intercept, indicating that there is initially 1 tablespoon of sugar in the solution.
Therefore, the equation y = 2x + 1 accurately represents Taryn's experiment on sugar saturation.
the completed question:
Taryn conducted a science experiment on saturation. She added sugar to a sugar-water solution at different intervals. The graph shows how much sugar was in the solution at different times. Which equation represents Taryn's situation, where x is the number of minutes and y is the tablespoons of sugar?
Responses:
A. y = 12x + 1
B. y = (1/2)x + 1
C. y = x
D. y = x + 1
E. y = 2x + 1