Answer:
0.266666666
Step-by-step explanation:
---<span>
y(t) = a*e^(kt)</span><span>
---
now:</span><span>
130 mg</span><span>
---
one hour from intake:</span><span>
130 * (1 - 0.11) = 115.7 mg</span><span>
---
y(1) = 115.7 = 130*e^(k(1))</span><span>
115.7 = 130*e^k</span><span>
115.7/130 = e^k</span><span>
ln( 115.7/130 ) = ln( e^k )</span><span>
ln( 115.7/130 ) = k</span><span>
k = -0.1165338
</span><span>---
three hours from intake:</span><span>
y(3) = 130*e^(3k)</span><span>
y(3) = 91.64597</span><span>
---
answer:</span><span>
three hours after drinking a cup of coffee, 91.6 mg of caffeine will remain in the body
</span>
To find percent error, you subtract the actual number from your estimate, take the absolute value, and divide by the actual number.
l 96 - 118 l
l -22 l
l 22 l
l 22 l / 118
0.19% (this was rounded)
Hope this helps!
Move all terms that don't contain x to the right side, and solve.
x = - 3y/2 + 18
