Question
Using the table of values: x cups of milk: 2, 4, 5, and 30 and y tbl chocolate syrup: 1, 2, 2.5, and 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) What is the slope in context?
2) What is the y-intercept in context?
3) What is the equation of the line?
Answers
GPT 3.5
To find the slope in context, we need to calculate the change in y (chocolate syrup) divided by the change in x (cups of milk).
For the first two points (2 cups of milk, 1 tbl chocolate syrup) and (4 cups of milk, 2 tbl chocolate syrup), the change in y is 2 - 1 = 1 and the change in x is 4 - 2 = 2.
So, the slope is 1/2 tbl of chocolate syrup per cup of milk.
To find the y-intercept in context, we look at the point where x = 0. However, there is no value of x = 0 in the table of values given. Therefore, we cannot determine the y-intercept with the given information.
To find the equation of the line, we need to use the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
Since we do not have the y-intercept, we cannot write the equation in slope-intercept form.
Thus, we have the slope in context as 1/2 tbl of chocolate syrup per cup of milk, but we cannot determine the y-intercept or write the equation of the line with the given information.
For the first two points (2 cups of milk, 1 tbl chocolate syrup) and (4 cups of milk, 2 tbl chocolate syrup), the change in y is 2 - 1 = 1 and the change in x is 4 - 2 = 2.
So, the slope is 1/2 tbl of chocolate syrup per cup of milk.
To find the y-intercept in context, we look at the point where x = 0. However, there is no value of x = 0 in the table of values given. Therefore, we cannot determine the y-intercept with the given information.
To find the equation of the line, we need to use the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
Since we do not have the y-intercept, we cannot write the equation in slope-intercept form.
Thus, we have the slope in context as 1/2 tbl of chocolate syrup per cup of milk, but we cannot determine the y-intercept or write the equation of the line with the given information.