Fair Shares of Shoes and Socks Quiz

Brynn has been walking around through the snow and mud in her bare feet for the last month. Her feet have turned blue (and black and brown) soher parents have finally agreed to give her $100 to buy shoes and socks. Just Shoes & Socks is having a special Valentine's Day sale at the mall. All shoes are $20 and all socks are $10.

  1. What combination of shoes and socks do you suggest she buy? Provide at least three different pairs of answers.
  1. Using S for the number of shoes she buys and K for the number of socks she buys, write an equation expressing the fact that the total of all her purchases is $100.
  1. Now suppose you know how many shoes Brynn buys. Describe in words how you can find how many socks she buys.
  1. Graph the equation from Question 2.
  1. Find two more pairs of possible answers from your graph.

Bonus Questions (Complete 6-8 instead of Question 4 & 5.)

  1. Write your sentence from question 3 as a function expressing K in terms of S. That is, write an equation that begins "K=…., and has an expression using Son the right side of the equal sign.
  1. Graph the function from question 6 on your calculator using Y for K and X for S. Check to see if your answers from Question 1 are on the graph.
  1. Use the trace feature on your calculator to find two more pairs of possible answers from your graph.

Fair Shares for Tommy's Bakery Quiz

By noon on Presidents' Day, Tommy's Bakery has sold out all their muffins and coffee! They need a delivery of flour and coffee to make more before the customers riot. Tommy can ride his bike over to the supermarket and bring the supplies back in the box on the back of his bike. The box can carry 25 pounds. The flour comes in five-pound bags and the coffee comes in one-pound bags.

  1. What combination of flour and coffee do you suggest he buy? Provide at least three different pairs of answers.
  1. Using F for the pounds of flour he buys and C for the pounds of coffee he buys, write an equation expressing the fact that the total of all his purchases is 25 pounds.
  1. Now suppose you know how many pounds of flour Tommy buys. Describe in words how you can find how many pounds of coffee he buys.
  1. Graph the equation from Question 2.
  1. Find two more pairs of possible answers from your graph.

Bonus Questions (Complete 6-8 instead of Question 4.)

  1. Write your sentence from question 3 as a function expressing C in terms of F. That is, write an equation that begins "C=…., and has an expression using Fon the right side of the equal sign.
  1. Graph the function from question 6 on your calculatorusing Y for C and X for F. Check to see if your answers from Question 1 are on the graph.
  1. Use the trace feature on your calculator to find three more pairs of possible answers from your graph.