Page 109 - Algebra

b =3
Solve for A
A=1
Therefore, the equation is y = 3x
4. Number of extinct animals introduced in 2010 = 160 Number of animals at the end of 2013 = 540 Therefore, the exponential equation is
y = Abx
540 = 160bx
54 = 16bx
27 = 8bx
Time from 2010 to 2013 is 3 years. 27 = 8b3
27 = b3 8
b = 3 = 1.5 2
y = 160(1.5)x
5. A = 200 grams r = 0.14
d = 5 days
Use the equation of decay y = A(1 – r)x
y = 200(0.86)5
y = 94 grams
6. After 2 years, the money will grow, so we will use the exponential equation for growth. y = A(1 + r)x
A = 2000 x= 2
r =0.12
y = 2000(1+0.12)2 = $2508.80
Page 108 of 177
Algebra I & II