Search Search... What are the slope m and the y-intercept b? b. If the adult dos

Question

Search Search... What are the slope m and the y-intercept b? b. If the adult dose of a drug is 500 mg, how much should a 4-year-old child receive? 37. DRINKING AND DRIVING AMONG HIGH SCHOOL STUDENTS The percentage of high school students who drink and drive was 17.5% at the beginning of 2001 and declined linearly to 10.3% at the beginning of 2011 a. Find a linear function f(t) giving the percentage of high school students who drink and drive in year t, where t = 0 corresponds to the beginning of 2001. b. If the trend continues, what will the percentage of high school students who drink and drive be at the beginning of 2014? Centers for Disease Control and Prevention.

Explanation / Answer

For 10 years (17.5-10.3)% =7.2% decreases

Rate must be in the exponential form..,

Let drink and drive rate will be x

I.e, at t=0,

X(0)=17.5

At t=10,

X(10)=10.3,

(Let us assume time constant in yrs)

X(t)=X(0)*exp(-t/T)

Substitute t=10 then.,

exp(-10/T)=10.3/17.5

exp(-10/T)=0.58857

Apply natural log on both sides

-10/T=ln(0.58857)

-10/T=-0.53

T=10/0.53

T= 18.868 years

For 2014

14 years

X(14)= x(0)* exp(-14/18.868)

X(14) = 8.33%

This is the final ans...,

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