Please help me with this
1 answer:
You might be interested in
<u>(a) Construct a 95% confidence interval for the difference between the average number of intrusion attempts per day before and after the change of firewall setting (assume equal variance)</u>
Answer:
3 gallons of diesel weight = <u>22.2 pounds </u>
The constant of variation = <u>7.4</u>
The quantities vary <u>directly</u>
Step-by-step explanation:
Given:
5 gallons of gas weights = 37 pounds
To find
a) the weight of 3 gallons of gas.
b) if the quantities vary directly or inversely.
c) the constant of variation.
Solution:
Applying unitary method to find weight of 3 gallons of gas.
If 5 gallons weight = 37 pounds
Then, 1 gallon will weight = =7.4 pounds
Thus, 3 gallons will weight = = 22.2 pounds
Listing out the data we have:
1 gallon = 7.4 pounds
3 gallons = 22.2 pounds
5 gallons = 37 pounds
From the data, we find out that as the number of gallons of gas increases the weight of gas also increases. This shows that these quantities are directly proportional to each other.
<em>The unit rate of the quantities is called the constant of variation.</em>
<em>Unit rate: 7.4 pounds per gallon</em>
Thus, the constant of variation = 7.4
ANSWER
8 minutes
EXPLANATION
We know that the cost of using the internet in dollars is given by,
Where x is the number of minutes spent on the internet.
In this problem, we have to find how many minutes will 6 dollars buy. In other words, we have to find x for y = 6. To solve the given equation for x, we have to multiply both sides by 4,
And divide both sides by 3,
So, for y = 6, x is,
Hence, $6 will buy 8 minutes.