Direct variation is a relation that has the form
y = kx
where k is the constant of proportionality.
If you are told that a relation is a direct proportion, and you are given one data point, you can find k. The you can write the equation of the direct relation.
Here is an example.
The price of gasoline follows a direct variation.
John bought 5 gallons of gas and paid $15.
a) Write an equation for the relation.
b) Using the relation you found, how much do 13.8 gallons cost?
Solution:
Since the relation is a direct variation, it follows the general equation of a direct variation:
y = kx
We are given one data point, 5 gallons cost $15.
We plug in 5 for x and 15 for y and we find k.
y = kx
15 = k * 5
k = 3
Now that we know that k = 3, we rewrite the relation using our value of k.
y = 3x
This is the answer to part a).
Part b)
We use our relation, y = 3x, and we plug in 13.8 into x and find y.
y = 3x
y = 3 * 13.8
y = 41.4
The price of 15 gallons of gas is $41.40.
Answer:
(1/6)(x-2)(x-3)(x-5)
Step-by-step explanation:
Answer:
0.0064 is the probability that Isaac will find his first defective can among the first 50 cans.
Step-by-step explanation:
W are given the following in the question:
Probability of defective can =
We have to find the probability that Isaac will find his first defective can among the first 50 cans.
Then the number of adults follows a geometric distribution, where the probability of success on each trial is p, then the probability that the kth trial (out of k trials) is the first success is
We have to evaluate:
0.0064 is the probability that Isaac will find his first defective can among the first 50 cans.
I don’t understand. Could you break the question down?
The highlighted 5 in 35.052 is in the hundredths place.
