a) 42 = _______
c) (-4)2 = _______
b) 3 – 42 = _______
d) -42 = _______
Simplify the following. Answers
should be in exponent form with
positive exponents only.
j)
𝟐𝒂 −𝟐
( )
𝒃
k)
𝒙𝟓
( 𝟑)
𝒚
𝟑
𝟐
𝒚𝟒
( 𝟑)
𝒙
𝟒
l) √𝒙𝟖
Exponential Decay: page 168: # 12
Shylo is very excited about her
brand new car! Although she
paid $20 000 for the car, its
resale value will depreciate
(decrease) by 30% of its current
value every year. The equation
relating the car’s depreciated
value, v, in dollars, to the time, t,
in years, since her purchase is
v(t)= 20 000(0.7)t.
.
.
a) Explain the significance of
each part of this equation. v(t)= 20 000(0.7)t.
. b) How much will Shylo’s car
be worth in
i) 1 year?
ii) 2 years?
c) Graph the depreciation
function. Is it an example of
exponential decay? Explain
how you can tell.
. d) How long will it take for
Shylo’s car to depreciate to 10%
of its original price?
Homework:
Done: p. 148: 1-7,
p. 167: # 1-7, 8