a recipe uses 1 1/4 cups of milk to make 10 servings. if the same amount of milk is used for each serving how mant servings can
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Answer:
see explanation
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = 2,4 ) and (x₂, y₂ ) = (5, 1)
m = =
= - 1 ← negative slope
Repeat
with (x₁, y₁ ) = - 7,8) and (x₂, y₂ ) = (- 7, 0)
m = =
Division by zero is undefined, thus slope is undefined.
Repeat with
(x₁, y₁ ) = (6, - 3) and (x₂, y₂ ) = (- 4, - 3)
m = =
= 0 ← zero slope
Repeat with
(x₁, y₁ ) = (3, 5) and (x₂, y₂ ) = (- 1, 2)
m = =
=
← positive slope
The rate of change of a function can be modeled with the following expression:
Where Δx is the change in x value, and Δk(x) is the corresponding change in k(x). We're given the two extremes of x, so we can calculate the change in x to be
To find the change in k(x), we can calculate the values of k(x) at x = -14 and x = -4 and find the difference between them:
So, the rate of change for the function from x = -14 to x = -4 is
Where Δx is the change in x value, and Δk(x) is the corresponding change in k(x). We're given the two extremes of x, so we can calculate the change in x to be
To find the change in k(x), we can calculate the values of k(x) at x = -14 and x = -4 and find the difference between them:
So, the rate of change for the function from x = -14 to x = -4 is