Question

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

Answer 1

1) The slope in this context would represent the amount of chocolate syrup used per cup of milk. To calculate the slope, we can use the formula: slope = (change in y)/(change in x).

Using the given values, the change in cups of milk is (4 - 2) = 2 and the change in tablespoons of chocolate syrup is (2 - 1) = 1.

Therefore, the slope = (1)/(2) = 0.5.

So, the slope in this context is 0.5.

2) The y-intercept in this context would represent the initial amount of chocolate syrup used when there are 0 cups of milk. Looking at the given values, when x = 0 cups of milk, y = 0 tablespoons of chocolate syrup.

So, the y-intercept in this context is 0.

3) The equation of the line can be determined using the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

In this case, the slope is 0.5 and the y-intercept is 0.

Therefore, the equation of the line is y = 0.5x + 0, which simplifies to y = 0.5x.