Using the table of values x cups of milk 2 4 5 30 y tablespoons chocolate syrup 1 2 2.5 15 (3 points) 1) What is the slope in context? 2) What is the y-intercept in context? 3) What is the equation of the line?
To find the slope in context, we need to determine the rate at which the number of tablespoons of chocolate syrup changes per each cup of milk. We can do this by finding the change in y (chocolate syrup) divided by the change in x (milk).
Change in y: 15 - 1 = 14
Change in x: 30 - 2 = 28
Slope = Change in y / Change in x = 14 / 28 = 0.5.
In context, the slope represents that for every 1 cup of milk added, the number of tablespoons of chocolate syrup increases by 0.5.
To find the y-intercept in context, we look at the value of y when x is 0. Since there is no data point in the table where x is 0, we cannot determine the y-intercept accurately from the given table.
Therefore, we cannot determine the equation of the line accurately.