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Here are a few recommended readings before getting started with this lesson.
When Fantastic Car 1
was released in 1970, the price of the car was about $3500. Since then, the way its market value changed over the years can be described by the following graph.
Here, C represents the price of the car in thousands of dollars and t the number of years since 1970. In 1985, it has been reported that the Fantastic Car 1 was being sold for $11000.
x=0
Calculate power
Zero Property of Multiplication
Identity Property of Addition
f(x)=0
Use the Quadratic Formula: a=-4,b=9,c=5
Calculate power
a(-b)=-a⋅b
(-a)b=-ab
a−(-b)=a+b
State solutions
(I), (II): Use a calculator
(I), (II): Add and subtract terms
(I), (II): Use a calculator
(I), (II): Round to 1 decimal place(s)
x=1.125
Round to 1 decimal place(s)
Tearrik's ball: about 4 seconds
Split into factors
Factor out -16
a=a+(23)2−(23)2
a=22⋅a
Split into factors
ca⋅b=a⋅cb
Commutative Property of Multiplication
(a−b)2=a2−2ab+b2
Distribute -16
(ba)m=bmam
a⋅cb=ca⋅b
Calculate quotient
16⋅16a=a
Add terms
ba=a÷b
M(x)=0
Use the Quadratic Formula: a=-16,b=48,c=5
Calculate power
a(-b)=-a⋅b
(-a)b=-ab
a−(-b)=a+b
Calculate root
State solutions
(I), (II): Add and subtract terms
(I): Put minus sign in front of fraction
(II): -b-a=ba
(I), (II): Use a calculator
(I), (II): Round to 1 decimal place(s)
The ball will reach a height of 0 feet after around 3.8. Rounded to the nearest integer, this value approximates to 4. Therefore, Tearrik's ball is airborne for about 4 seconds, while Mark's ball is airborne for about 3 seconds.