Average Cost
What do you divide by to get the average cost?
The total quantity of the item
What's the first step in solving rational equations?
Cross Multiply
How do you calculate time?
Time=Distance/Rate
What parent function has a graph with a straight line?
Linear function
What is the average cost equation?
Total amount divided by the total quantity
What's another word for distribute?
How do you calculate distance?
Time * Rate
What parent function has a graph shaped like a U?
Quadratic Function
What does it mean when you have a "set up" cost?
You have to pay that no matter how matter the quantity
Solve 2/(h+3)=3/(h-2)
h=-13
How do you calculate rate if there are 2 different times?
Set them equal to each other and solve
What parent function has a graph with lines that never meet?
Rational Function
A comic distributor is selling the new Spider-Man comic. They charge $45 for shipping, and $2.25 per comic. Write a function to represent the average cost A(d), in dollars, d, per comic
A(d)=45+2.25x/x
Solve: 13/(13-x)=7/(13+x)
x=13
What happens to the rate when you go downstream and upstream?
Downstream- increases
Upstream-decreases
What parent function has a graph shaped like a V?
Absolute Value
Use your function a(d)=45+2.25x/x to find out how many comics should be sold to have an average cost of $3.
x=60
Solve and check answer in desmos:
(x+3)/(x+8)=2/(x+3)
x=-5.32 and x=1.32
Mike likes to ride his bike. Mike can ride his bike at 16 miles per hour when there are no hills. He plans to ride up a mountain road which will cause his speed to decrease by r miles per hour. Which equation represents the time, t, in hours it will take him to ride 18 miles up the mountain road?
T=8/(6-r)
What is does vertex form equation look like?
y=(x-h)^2+k