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Cupcake Math. Raven Morris Algebra 1 Pre-AP Accelerated 6 th Period. What’s the Deal?.

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cupcake math

Cupcake Math

Raven Morris

Algebra 1 Pre-AP Accelerated

6th Period

what s the deal
What’s the Deal?
  • Raven’s Cupcake Company ships cupcakes all over the country. There is a flat rate of $2.00 for every order shipped, and cupcakes cost $6.00 a dozen. What is the total cost if Shantaniatia orders three dozen cupcakes?
x and y
X and Y?
  • Your ‘x’ value is the number of cupcakes that she purchases, which we already determined was three. So x=3.
  • Your ‘y’ value is the total amount that the order will cost, which will be determined in a later slide.
  • Equation: y=$2.00+6x
independent and dependent
Independent and Dependent?
  • Our independent value is….the number of dozens of cupcakes purchased
  • Our dependent value….is the total cost of the cupcake plus shipping
  • So, the total amount required to purchase the cupcakes depends on the number of cupcakes purchased!
function
Function?
  • In case you were wondering, yes, this is a function because it has independent and dependent values!!
domain and range
Domain and Range!
  • The domain is all of the possible x values. Lets just use…

D:{1,2,3,4,5,6,7}

The range is all the possible y values. To determine the y values, we have to use our formula, which is y=$2.00+6x…

R:{$8, 14, 20, 26, 32, 38, 44}

continuous or discrete
Continuous or Discrete?
  • This domain is continuous, because you can get any number of cupcakes.
function notation
Function Notation

If this equation were written in function notation, it would look like this…

f(x)=$2.00+6x

equation stated
Equation Stated
  • If we were to write this equation in what I like to call standard notation it would look like….

y= $2.00+6x

possible outcomes
Possible Outcomes
  • Some of the possible outcomes to this equation are as follows…
graph
Graph
  • This is what some of the outcomes would look like on a graph…

Total Cost

Number of Cupcakes

slide12
So…
  • Now that we know how to find our answer, we should be able to figure out that Shantaniatia will have to pay $20.00 for her cupcakes and their shipping. We also hopefully learned a little more about functions from Raven Morris!