High School

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Let's go Shopping!

You and your friend have decided a day at the mall is in order. Answer the following questions regarding some purchases you make. Be sure to read the directions carefully and answer the questions fully.

1. Your first plan of action is to decide what to wear for the day. You will be shopping all day. The temperature at 8 am this morning is 45 degrees. The weather forecast says the temperature will increase by 32 degrees by 12 pm, then decrease by 14 degrees at 6 pm where it remains constant. Set up an expression for finding the temperature throughout the day. Find the final temperature from your expression. *(Optional: Attach a picture of your favorite shirt, sweatshirt, etc.)*

2. Your next decision is deciding on how many 5-minute songs you can listen to while driving to the mall, which is 45 minutes away. Set up an expression to find the number of songs you can listen to on the way to the mall. Find the total number of songs you can listen to. *(Optional: List your favorite song currently.)*

3. After listening to all your favorite tunes, you finally arrive at the mall. You can’t remember how much money you have. You pull out your money. You have seven twenty-dollar bills, four ten-dollar bills, three five-dollar bills, and eight one-dollar bills. Set up an expression for the total amount of money you have. Find the total amount of money you have.

4. After counting your money, the first store you go to is a video game store. You see 4 games you would like to purchase. The first is $19.99, the second is $21.59, the third is $9.92, and the last one is $22.88. You purchase all four games. You get talking with your friend and remember that the last one you bought for $22.88 is a game your friend already has. You take that game back to the store and they charge a fee of $2.99 for returned games. Set up an expression for the amount you paid for the 4 games, the game you returned, and the fee you had to pay. Find the total after you paid for the 4 games, the returned game, and the fee. *(Optional: List your favorite video game.)*

5. Your friend decides you should go to a clothes store next. Your friend has one hundred dollars. They pick out 10 items. The first three are $15.99 each, the second three are $10.40 each, and the last four are $4.50 each. Explain how you would estimate if your friend has enough money to buy all the items. Then set up an expression to find out if your friend has enough money to buy all the items. Lastly, find the total from your expression.

6. After you both have bought some items, you decide it is time for some candy at the candy store. You decide to buy 5.5 pounds of jelly beans. Your friend suggests that you share your jelly beans with your other friends tomorrow. You decide to give each friend ¼ of a pound. How many friends can you share your jelly beans with? Set up an expression to find the number of friends you can share them with. *(Optional: What is your favorite candy?)*

7. Giving to your church is part of God's will. Genesis 14:19-20 says, "And he blessed him and said, 'Blessed be Abram by God Most High, Possessor of heaven and earth; and blessed be God Most High, who has delivered your enemies into your hand!' And Abram gave him a tenth of everything." Before you went to the mall you should have set aside 10% (0.1) of the money you had. From question 3, how much money should you bring to church? Set up an expression to show the amount you should bring.

Answer :

This answer provides step-by-step explanations for setting up expressions and solving temperature, songs, money, game purchases, clothing budget, sharing jelly beans, and church donations.

Expression to find temperature throughout the day:

  • Initial Temperature at 8 am: 45 degrees
  • Temperature increases by 32 degrees by 12 pm
  • Temperature decreases by 14 degrees at 6 pm
  • Constant temperature after 6 pm

Expression for total temperature change: 45 + 32 - 14 = 63 degrees

Expression for the number of songs you can listen to:

  • 45 minutes drive / 5 minutes per song = 9 songs

Expression for the total amount of money:

  • 7 x 20 + 4 x 10 + 3 x 5 + 8 x 1 = $169

Expression for the total amount spent on games:

  • $19.99 + $21.59 + $9.92 - $22.88 + $2.99 = $31.61

Expression to estimate if your friend has enough money for clothes:

  • $15.99 x 3 + $10.40 x 3 + $4.50 x 4 = $100.29

Expression for the number of friends you can share jelly beans with:

  • (5.5 / 0.25) = 22 friends

Expression to calculate money to take to church:

  • $169 x 0.1 = $16.90

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