Modeling Problems (Systems of Equations)

Modeling Problems (Systems of Equations)

Warm Up

you might want to have a calculator nearby!

Fill in the Blanks

Victoria wants to buy strawberries and kiwi to make a fruit tart. Strawberries cost $4.50 per pound and kiwi cost $3 per pound. How much does she spend if she buys 2.5 pounds of strawberries and 3 pounds of kiwi?

Fill in the Blanks

Victoria wants to buy strawberries and kiwi to make a fruit tart. Strawberries cost $4.50 per pound and kiwi cost $3 per pound. How much does she spend if she buys 20 pounds of strawberries and 30 pounds of kiwi?

Multiple Choice

Victoria wants to buy strawberries and kiwi to make a fruit tart. Strawberries cost $4.50 per pound and kiwi cost $3 per pound.

How much does she spend if she buys x pounds of strawberries and y pounds of kiwi?

• y=4.50x+3

• 4.50+x=3+y

• 4.50x+3y

good job!!!!!

Multiple Choice

Kaj and some friends are going to the movies. At the theater, they sell a bag of popcorn for $4.75 and a drink for $3.75.

How much would it cost if they bought 6 bags of popcorn and 3 drinks?

• $4.75\left(3.75\right)+6\left(3\right)$

• $4.75\left(6\right)+3.75\left(3\right)$
  

• $4.75+6+3.75+3$
  

Multiple Choice

Kaj and some friends are going to the movies. At the theater, they sell a bag of popcorn for $4.75 and a drink for $3.75.

How much would it cost if they bought 631 bags of popcorn and 348 drinks?

•  $4.75\left(3.75\right)+631\left(348\right)$ 

•  $4.75\left(631\right)+3.75\left(348\right)$ 
  

•  $4.75+631+3.75+348$ 
  

Open Ended

Kaj and some friends are going to the movies. At the theater, they sell a bag of popcorn for $4.75 and a drink for $3.75.

Suppose you knew that Kaj bought x bags of popcorn and y drinks for a total price of $66. Write an equation that reflects this information.

Give it a try! (write in your notebook)

Cameron works as a salesperson at an electronics store and sells phones and phone accessories. Cameron earns a $11 commission for every phone he sells and a $2.50 commission for every accessory he sells. On a given day, Cameron made a total of $361 in commission from selling a total of 56 phones and accessories. Determine the number of phones sold and the number of accessories sold.

Stuff for today

• We're practicing "modeling problems" (writing and solving equations related to realistic situations)

• Assignment: on Deltamath

• On Wednesday, there will be a formative assessment on KPI 3.1 (Systems of Equations)

• I really recommend Deltamath to help you review for that!!!