Applications

[nycmath]

Precalculus
Michael Sullivan
Edition 10
Chapter 2, Section 2.1

I will do 89 and 91. You are welcome to do the rest.

89.

We want A(x).

Length = 2x

Width = x

A(x) = length • width

A(x) = 2x(x)

A(x) = 2x^2

You say?


91.

We want G(x).

Let x = number of hours.

Rate = $10 per hour.

My final answer is G(x) = 10x.

You say?

[Math Tutor]

93. [tex]P(a)=0.015a^2-4.962a+290.580[/tex]
(a) Independent variable: [tex]a[/tex] (age); dependent variable: [tex]P[/tex] (population).
(b) [tex]P(20)=0.015(400)-4.962(20)+290.580=197.34[/tex] -- about 197.34 million Americans are 20 years of age or older.
(c) [tex]P(0)=290.580[/tex] -- about 290.58 million Americans are 0 years of age or older, i.e. the whole population.

[nycmath]

93. [tex]P(a)=0.015a^2-4.962a+290.580[/tex]
(a) Independent variable: [tex]a[/tex] (age); dependent variable: [tex]P[/tex] (population).
(b) [tex]P(20)=0.015(400)-4.962(20)+290.580=197.34[/tex] -- about 197.34 million Americans are 20 years of age or older.
(c) [tex]P(0)=290.580[/tex] -- about 290.58 million Americans are 0 years of age or older, i.e. the whole population.

Thank you for your time.

[Eigenvalue]

90. A triangle's area is A=([tex]\frac{1}{2}[/tex])bh
b and h both equal x, so the formula is A=[tex]\frac{x²}{2}[/tex]

[nycmath]

90. A triangle's area is A=([tex]\frac{1}{2}[/tex])bh
b and h both equal x, so the formula is A=[tex]\frac{x²}{2}[/tex]

Quite clever for you to say that base = height = x.