Suppose that a person's peak blood alcohol level is 0.07 (grams per 100 mL) and that this level decreases by 40% each hour. a) What is the hourly decay factor? b) Write an exponential function B(x)equalsCa Superscript x that models the blood alcohol level after x hours. c) Evaluate B(2) and interpret the result.

a) Hourly decay factor = 0.6

b)

c) B(2) = 0.0252

This result means that the blood alcohol level will be 0.0252 (grams per 100 ml) after 2 hours

Step-by-step explanation:

Since the function is an exponential function, it can be modeled as:

Where the peak blood alcohol level, C = 0.07

Since the blood level decreases by 40%(0.4) every hour, r = -0.4

The hourly decay factor is given by a = 1 + r

a = 1 + (-0.4) = 1 - 0.4

a = 0.6

Therefore, the hourly decay factor = 0.6

b) The exponential function is:

Where a = 1 + r = 0.6

C = 0.07

c) Evaluate B(2)

Substitute x = 2 into the exponential function gotten in part (b)

This result means that the blood alcohol level will be 0.0252 (grams per 100 ml) after 2 hours

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

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step-by-step explanation: