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You are taking a road trip! The scale on your map indicates that every \( {\frac{1}{2}}\) of an inch on the map represents 23 miles. If your next stop is \( {3\frac{1}{2}}\) inches away on the map from your current location if you travel in a straight line, approximately how many miles away is it?
You are making hot chocolate for your friend’s birthday party. The recipe you are following says that you will need 4 cups of cocoa powder to serve 10 people. You decide to scale up your recipe proportionally so that you can serve 25 people. How many cups of cocoa powder should you use?
A survey claims that, when asked to choose only one flavor of ice cream as their favorite, 2 out of every 5 people selected chocolate. If 450 people prefer chocolate ice cream, how many people were surveyed?
You are an interior designer. Your new client wants one wall of their bedroom to be covered in wallpaper that you will choose. Your client has sent you the following scale drawing of the room:
If the wall that you will cover in wallpaper is 15 feet long, approximately how many inches long is it on the scale drawing?
If a:b = 7:4 and b:c = 5:4, what is the ratio of a:c?
You are building a table and need to cut the board below into 2 pieces at point B. The ratio of the length of AB to BC is 3:7. What is the ratio of AB to AC?
Your grandma is making her infamous green bean and tuna fish casserole. Her recipe calls for 2 tablespoons of butter and serves 6 people. There will be 24 people at dinner. If she scales up the recipe proportionally, how many tablespoons of butter will your grandma need to serve 24?
You are navigating to your grandma’s house. \( \frac{1}{4} \) of an inch on your map represents 28 miles. If your grandma’s house is 2 \( \frac{1}{2} \) inches away from your current location on your map, how many miles away is it?
You are surveying 20 people from your grade to see if they like different kinds of cookies. Their responses are below:
Cookie Type Yes No
Chocolate Chip 18 2
Oatmeal Raisin 15 5
Macadamia Nut 13 7
If these 20 people accurately reflect the preferences of your grade of 80 students, how many students in your grade would respond Yes to Macadamia Nut?
You are exploring the map in a new video game on the back of your trusty dragon, Scorch. If Scorch flies straight for 45 seconds, she will cover 2 miles. If the next town is 5 miles away, how many seconds will it take Scorch to fly directly there?
Your friend is running at a speed of 8 miles per hour. At that speed, how many miles can he run in 10 minutes?
The ratio of students in Science club to Math club is 7:5. If the total number of students in the Math and Science club combined is 84, and no student is in both clubs, how many students are in Science club?
Your principal is considering moving from 45-minute periods to 2-hour block periods. She passes out a survey to all 281 students in your high school to fill out during home room that asks if students approve or disapprove of block periods. If students do not return the survey, it is noted that they didn’t answer. The results of the survey are as follows:
Grade Approve Disapprove Didn’t Answer
9 35 21 15
10 29 28 20
11 45 10 5
12 18 30 25
Total 127 89 65
What fraction of seniors disapproved?
You are buying cereal at the grocery store. A 19 oz box of cereal costs $3.25 before tax. If the price and amount of cereal scale proportionally, how much would a 35 oz box of cereal cost before tax (round your answer to the nearest cent)?