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Using technology, find the exponential function of best fit for the data.

A. \( y = 160.5 (2.3^x) + 20.5 \)

B. \( y = 99.8 (1.5^x) - 80.8 \)

C. \( y = 120.4 (0.8^x) - 209.1 \)

D. \( y = 147.3 (1.2^x) - 221.4 \)

Answer :

Final answer:

To find the exponential function of best fit for the data, you can use technology such as a calculator or graphing software. By inputting the given data points into the technology, it can determine the equation that best represents the trend in the data.

Explanation:

A) y = 160.5(2.3ˣ) + 20.5
B) y = 99.8(1.5ˣ) - 80.8
C) y = 120.4(0.8ˣ) - 209.1
D) y = 147.3(1.2ˣ) - 221.4

To find the exponential function of best fit for the data, you can use technology such as a calculator or graphing software. By inputting the given data points into the technology, it can determine the equation that best represents the trend in the data. For example, using a calculator, the equation for line of best fit for option B) is y = −3204 + 1.662x.

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