using tables in values 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? 3) What is the equation of the line
1: no cups of milk no syrup, 1 tbl syrup to 2 cups of milk
2: no cups of milk no syrup, 1 tbl syrup to 2 cups of milk
3: y=2x+1, y=1/2x
1) The slope in this context represents the ratio of cups of milk to tablespoons of chocolate syrup. From the given table, we can see that the ratio for the first two entries is consistent: 2 cups of milk to 1 tablespoon of syrup. Therefore, the slope is 2/1 or simply 2.
2) The y-intercept in this context represents the amount of chocolate syrup used when no cups of milk are in the recipe. Looking at the table, we can see that when there are no cups of milk, the amount of syrup used is also 0 tablespoons. Therefore, the y-intercept is 0.
3) The equation of the line can be expressed as y = mx + b, where m is the slope and b is the y-intercept. Plugging in the values we have, we get y = 2x + 0 or simply y = 2x.