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Hydropower is a type of renewable energy. The table gives the annual global amount of energy generated by hydropower since 1970.

Years since 1970 Hydropower Energy Generation (TWh)
0 1,200
10 1,700
20 2,100
30 2,600
40 3,000
50 4,100
Fit an exponential model to this data.

The exponential model indicates hydropower energy generation has ( a. increased by 2.3 TWh, b. increased by 2.3%, c. decreased by 2.3%, d. decreased by 2.3 TWh ) ________
per year. The model predicts that energy generated by hydropower 25 years after 1970 was closest to ( a. 2460, b. 2270, c. 2390 ) ________
TWh. Because the correlation coefficient indicates a ( a. strong, b. weak, c. moderate ) __________
correlation between the model and the data, this prediction ( a. is unreliable, b. can be accepted with confidence ) ___________
.

Respuesta :

Lanuel

The exponential model indicates that hydropower energy generation has increased by 2.3% (0.023).

What is an exponential function?

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 [tex]y = 1276.6e^{0.023x}[/tex]
  • 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: https://brainly.com/question/12940982

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