Answer:
k = 42
the constant of proportionality in this inverse variation is 42.
Step-by-step explanation:
Let x represent the number of people that want cake
And y the number of slices each can have;
Since x is inversely proportional to y;
x = k/y .....1
Where k is the proportionality constant;
To solve for k, we will substitute any of the case scenario given into equation 1.
If 14 people want cake, then they can each have 3 slices;
x = 14 , y = 3
substituting;
14 = k/3
k = 14 × 3 = 42
k = 42
the constant of proportionality in this inverse variation is 42.
Therefore,
x = 42/y
Answer:
g(x) = -|x|
Step-by-step explanation:
Are you familiar with the absolute value function y = |x|?
Its graph is v-shaped and opens up.
If the graph is turned upside down (so that it opens down), then g(x) = -|x|.
This is an irrational number because it cannot be written as a fraction
