Question

the us department of transportation performed a study in 2000 relating a persons blood alcohol concentration and their relative risk of crashing. an exponential regression performed on the data for males age 16 - 20 resulted in the equation 0.9995(80.4765)^x where x is a persons blood alcohol concentration and y is that persons relative risk of crashing. use the exponential regression equation to determine a persons relative risk of crashing if their blood alcohol concentration is 0.08. round your answer to the nearest hundredth.

Explanation:

Step1: Substitute x=0.08 into equation

$y = 0.9996(80.4765)^{0.08}$

Step2: Calculate exponent first

First compute $80.4765^{0.08}$. Using a calculator, $80.4765^{0.08} \approx 1.477$

Step3: Multiply by 0.9996

$y \approx 0.9996 \times 1.477 \approx 1.476$

Step4: Round to nearest hundredth

$y \approx 1.48$

Answer:

1.48