Using the table of values: (3 points)
x cups of milk
2,
4,
5,
30.
y tbl chocolate syrup
1,
2,
2.5,
15.
1) What is the slope in context?
2) What is the y-intercept in context? 1 tbl syrup to 2 cups of milk, or no cups of milk, no syrup
3) What is the equation of the line? y = 2x + 1, or y = 1/2x
1) The slope in this context represents the rate at which the amount of chocolate syrup changes with respect to the amount of milk. In other words, how much chocolate syrup is needed per cup of milk.
2) The y-intercept in this context represents the starting amount of chocolate syrup when there is no milk added. It indicates that when there are no cups of milk, there is still 1 tablespoon of chocolate syrup required.
3) The equation of the line depends on the units and how the chocolate syrup and milk are related. If the slope is 2 tbl chocolate syrup per 1 cup of milk, then the equation would be y = 2x + 1. However, if the slope is 1/2 tablespoon of chocolate syrup per 1 cup of milk, then the equation would be y = (1/2)x.