Problem $2(1$ point$)$

John has a body mass of $75$ kg ; he started drinking at $8$ pm $,$ and consumed five beers by $10$ pm $,$ when he stopped drinking.

Complete the code below to calculate John's BAC at midnight, assuming that he started drinking on empty stomach $($round to three decimal places$).$ Note

that one beer counts as one drink.

In $]$:A $=$ # look at the above formula: $0\mathrm{.}1*$ mass of alcohol consumed

r $=$ # Widmark factor

W $=$ # body mass

B $=$ # Note: Python cannot use Greek symbols for variables and parameters, so we use B instead.

t $=$ # time from start of drinking to midnightBAC $=$ A$/($rW$)-$Bt

print$("$John$\text{'}$s alcohol concentration at midnight is$",$ BAC, "percent per volume."$)$

print$()$Suppose we would like to find the time when John's blood alcohol concentration drops below $0\mathrm{.}05.$

The code below creates a table of values for BAC and plots it over the interval $0,12,$ where $t=0$ represents $8$pm$,$ the time when John started drinking.

$($Notice that this model stops making biological sense after about $t=8.)$

Keep in mind that $t$ and BAC are given as arrays, and that you can access particular values using indices $($just like with lists$).$ For example, t $[23]$ refers to the

$24$th value of $t$ in the array whereas BAC $[51]$ refers to the $52$ nd value of BAC in the array. $($If you do not remember this, go back and review Lab $0).$In $[]$: # plot BAC on the interval $[0,12]$

a $=0$ # do not change this

b $=12$ # do not change this

n $=720$ # do not change this

t $=$ np$.$linspace$($a$,$b$,$n$)$ # t is the independent variable; we're building a table of values for BAC!

BAC $=$ A$/($ rt # this completes the table of values for BAC

plt$.$plot$($t$,$BAC$)$

plt$.$title$("$John$\text{'}$s blood alcohol level"$)$

plt$.$xlabel$(\text{'}$t $($t$=0$ represents $8$pm$)\text{'})$

plt$.$ylabel$(\text{'}$BAC$\text{'})$

plt$.$grid$()$

plt$.$show$()$Hint $2$: The graph is meant to help you narrow down the ordered pairs you need to print! No need to print $720$ ordered

Problem $3(1$ point$)$

Examine the table of values for BAC to find the time when John's BAC falls below $0\mathrm{.}05$ for the first time.

Fill in the blank:

John's BAC falls below $0\mathrm{.}05$ for the first time $5$ hours and $------$minutes $($round off to the nearest integer minute$)$ after $8$ pm $.$