Answer:
B. 4
Step-by-step explanation:
A direct proportion has the form
y = kx or k=y/x,
where k is the proportionality constant.
Let's test some points.
Second point
k = 8/2 = 4
Fifth point
k = 23/5.75 = 4
You will get the same result for every point, so the constant of proportionality is 4.
It is undefined because you can’t have 0 as a denominater
Answer:
-$2.32
Step-by-step explanation:
Give that
The selling price per ticket is $9
And the number of tickets sold is 500
So,
There is one grand prize, three $300 second prize, and eleven $40 third prizes
We need to find out the expected value of the profit

= 4 + 1.8 + 0.88
= 6.68
Now the expected profit is
= $6.68 - $9
= -$2.32
Answer:
percentage change in weight ≈ 10%
Step-by-step explanation:
The dog weighed 48 kg after a diet and after an exercise program the dog had a weight of 43 kg. This means the dog loss weight since the dog weight decreased from an initial value of 48 kg to 43 kg. The decrease in weight can be calculate as
decrease in weight = original weight - new weight
original weight = 48 kg
new weight = 43 kg
decrease in weight = 48 - 43 = 5 kg
Since the weight decrease their will be a percentage decrease in weight.
% decrease = decrease in weight/original weight × 100
% decrease = 5/48 × 100
% decrease = 500/48
% decrease = 10. 42666666667
percentage change in weight ≈ 10%