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学習ガイド > Mathematics for the Liberal Arts

Assignment: Measurement Writing Task

For each of the following problems, write an explanation each step/calculation you take as you work toward your answer.   Image of maple trees tapped for sap production. In the foreground is a tree with 3 metal pails strapped to its trunk. Other trees with pails can be seen in the backgound. 1. During a massive Canadian ice storm, 30 thousand acres of sugarbush crop were damaged, where each acre of sugarbush grows about 80 trees. You can assume that each tree yields ½ gallon of maple syrup a year, and Canada typically produces 8 million gallons of maple syrup per year. What percent of the maple syrup supply in Canada was destroyed that year? If maple syrup is worth $39.10 per gallon and the average farmer tends to 45 acres of sugarbush, how much income did the average farmer lose that year?       Red Ducati motorcycle parked by a curb on a street. 2. You just moved downtown to start a new job, but you’re concerned that having a car in the city will be too difficult, so you decide to buy a motorcycle! The dealership has a bright red Ducati that you want, and you negotiate the price down to $11,680. The school credit union will lend you $8,950 and your mom says she will loan you the rest of the money interest-free. Grateful for such a generous offer from your mom, you want to figure out how to pay her back as quickly as possible. You know that you spend an average of $63 on food and drinks eating out every week, and lattes account for a third of that spending. If you cut out the latte runs and save that money instead, how many years will it take to pay back your mom? If you average 26 lattes a month, how much did each latte cost?   3. Elise has been asked to cater a baby shower that will have 12 attendees. She plans to make one mini bundt cake for each person. The carrot cake recipe she wants to use is for a large cake and makes 9 cups of batter once all the ingredients are mixed together. Each mini bundt pan is filled with 8 tablespoons of batter before being put in the oven. How many cups of batter does she need to make just enough mini cakes for the baby shower? Rewrite the recipe below with the necessary quantities needed of each ingredient for Elise to make just enough batter for the baby shower mini bundt cakes. (helpful info 1 cup = 16 tbsp)

Carrot Cake

Image of a frosted cake with small sugar carrots decorating the top.
  • 3 cups all-purpose flour
  • 3 teaspoons baking soda
  • 1 1/2 teaspoon kosher salt
  • 1 1/2 teaspoons ground cinnamon
  • 1 1/2 cups canola oil
  • 1 cup granulated sugar
  • 1 cup lightly packed brown sugar
  • 1 1/2 teaspoon vanilla extract
  • 3 large eggs
  • 4 1/2 cups grated peeled carrots
  • 3/4 cup raisins