Lesson 20 Rational Equations Part 1

Lesson 20 Rational Equations Part 1

Multiple Select

A local office supply store charges $18 to set up their business card printing machine with the design and $0.15 in materials per business card to print. Select all equations that could represent an expression for the average cost A(x) of printing a batch of x business cards.

• $A\left(x\right)=\frac{18+0.15x}{x}$

• $A\left(x\right)=\frac{0.15+18x}{x}$

• $A\left(x\right)=\frac{0.15}{18+x}$

• $A\left(x\right)=\frac{18}{x}+0.15$

Fill in the Blank

The school band is in charge of a new set of uniforms made with a new logo. A local business charges $140 to set up the logo with the design and $0.25 in materials per logo printed. The function C(x)
represents the average cost per logo if x uniforms are printed by this business.

What is the average cost per uniform to get the logo printed on 25 uniforms?  Type the number only without a $ sign.
 $C\left(x\right)=\frac{140+0.25x}{x}$  

Fill in the Blank

The school band is in charge of a new set of uniforms made with a new logo. A local business charges $140 to set up the logo with the design and $0.25 in materials per logo printed. The function C(x)
represents the average cost per logo if x uniforms are printed by this business.

What is the average cost per uniform to get the logo printed on 100 uniforms?  Type the number only without a $ sign.
 $C\left(x\right)=\frac{140+0.25x}{x}$  

Fill in the Blank

The school band is in charge of a new set of uniforms made with a new logo. A local business charges $140 to set up the logo with the design and $0.25 in materials per logo printed. The function C(x)
represents the average cost per logo if x uniforms are printed by this business.

How many uniforms should be printed to have an average cost of $1 per logo?
 $C\left(x\right)=\frac{140+0.25x}{x}$  

Fill in the Blank

The school band is in charge of a new set of uniforms made with a new logo. A local business charges $140 to set up the logo with the design and $0.25 in materials per logo printed. The function C(x)
represents the average cost per logo if x uniforms are printed by this business.

What is the long run value of the price of the uniforms for very large orders? Do not use a $ sign.
 $C\left(x\right)=\frac{140+0.25x}{x}$  

Multiple Choice

Two competing sports equipment suppliers sell footballs at different prices. Supplier A charges $85 in shipping, and charges $2.59 per football. Supplier B charges $50 shipping, and charges $4.29 per football. A school wants to buy 40 balls. Which supplier has the lowest average cost per ball?

• Supplier A

• Supplier B

Multiple Choice

What is one point of intersection between the graphs of the functions f(x)=(x+6)(x+2) and g(x)=x+6?

• (0,6)

• (-1,5)

• (-2,0)

• (-4,4)

Fill in the Blank

The graph of a polynomial f(x)=(5x−3)(x+4)(x+a) has x-intercepts at -4, 3/5, and 6. What is the value of a?

Multiple Choice

 $f\left(x\right)=3+\frac{-22}{x+6}$  

What is the end behavior of the function?

• f(x) approaches -22.

• f(x) approaches -6.

• f(x) approaches 6.

• f(x) approaches 3.