Question

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?

3) What is the equation of the line?

Answer 1

[AI-generated answer — Bot GPT 3.5]

1) The slope in this context represents the rate at which the amount of chocolate syrup (y) changes as the amount of milk (x) changes. To find the slope, we can use the formula:

slope = (change in y) / (change in x)

Using the given values, we can calculate the slope between the first two points:

slope = (2 - 1) / (4 - 2) = 1/2

So the slope in context is that for every 2 cups of milk, there is an increase of 1 tbl of chocolate syrup.

2) The y-intercept in this context represents the value of y (chocolate syrup) when x (milk) is equal to zero. To find the y-intercept, we can look at the point where x = 0.

Since there is no value for x = 0 in the given table, we cannot determine the y-intercept.

3) We can use the slope-intercept form of a linear equation, y = mx + b, to find the equation of the line. However, since we don't have the y-intercept, we cannot determine the equation of the line.