I NEED HELP ON 15 AND 16 PLEASE HELP ME I DONT UNDERSTAND IT
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The exponential model indicates that hydropower energy generation has increased by 2.3% (0.023).
<h3>What is an exponential function?</h3>An exponential function can be defined as a type of mathematical equation whose numerals are generated by a constant that's raised to the power of an argument.
Based on an exponential model for this data, we can deduce the following:
- Mathematically, the exponential function for the given data is given by
- The exponential model indicates that hydropower energy generation has increased by 2.3% (0.023).
- Hydropower energy generation in 25 years after 1970 was closest to 2270 TWh.
- Because the correlation coefficient indicates a strong correlation between the model and the data, this prediction can be accepted with confidence interval of 98.7%.
Read more on exponential functions here: brainly.com/question/12940982
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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