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 equals 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. It tells us how many tablespoons of chocolate syrup are needed for each additional cup of milk.
2) The y-intercept in this context represents the starting amount of chocolate syrup when there is no milk. It tells us how many tablespoons of chocolate syrup are needed when there are no cups of milk.
3) The equation of the line can be written as y = 2x + 1, or y = 1/2x. These equations summarize the relationship between the amount of milk and the amount of chocolate syrup.