Do Now – Cornerstone 2 - Day Two
Directions: Answer the questions below. Then, decide if each scenario is continuous or discrete.
1. Darrin is emptying out his bathtub. There are 28 gallons of water in the tub and it is decreasing at a rate of 1 gallon per minute.
• Write an equation to represent the relationship between the amount of water in the tub, y, and the number of minutes the tub has been draining, x.
2. Tylia makes balloon animals at a kids’ birthday party to earn extra money. The equation, p(b) = 3f, represents the relationship between all the money she makes, p(b), and the number of balloon animals she makes, b.
• How much does Tylia charge for each balloon animal?
• What is the y-intercept? What does it represent?
• If Tylia made 21 dollars, how many balloon animals did she make? Represent your response with function notation.
3.
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Justin is learning how to go rock climbing by taking a class. The equation H = 4L + 30 represents the total height in feet in feet he can climb, D, based on the number of classes he has gone to, L.
• How high can Justin climb after he takes 9 lessons?
• How high could Justin climb before he started taking classes?
Name:_____________________________________ Date:_____________________Class:____________
Exit Card – Cornerstone 2 - Day Two
1. Compare the functions f(x) = 1x + 5 and g(x) = 5x + 1. Are these functions the same? Does the order of the numbers matter? Justify your response by completing the tables below. f(x) = 1x + 5 x f(x) g(x) = 5x +
7. Write an equation to find the “Number of people who know” for any 5-minute interval in Scenario B.
Many people would agree that without faith, the world would be in chaos. The book Christian Foundation by Kathleen Fischer and Thomas Hart gives an interpretation on faith in our time. Many people would question the definition of faith. Faith is a gift, which is given by God to have trust in him and belief in him. This book is a great entry in anyone's life that has speculation on his or her own faith. The book has many ways into understanding ones own religion. It discusses the Bible, Jesus, Church, God's existence and Images of God. All of these chapters helped me get a better interpretation of what my religion entailed.
10. After working for 24 hours, Zoe made $234. After working for 40 hours, Zoe made $390. Predict how much she would make after 10 hours of work.
Halee set up a lemonade and cookie stand at the end of her street. She is selling lemonade for $0.25 per cup and cookies for $0.25 each. She sells 15 cookies and 35 cups of lemonade. Her total sales can be represented by the expression shown.
17. David has a small business and is working on an Excel worksheet to help manage his inventory. David
2. Refer to the above table to answer this question. Suppose that Mia has a budget of $7 and the price of a litre of soya milk is $1, what is the maximum quantity that Mia might purchase?
Warren Company makes candy. During the most recent accounting period, Warren paid $3,000 for raw materials, $4,000 for labor, and $2,000 for overhead costs that were incurred to make candy. Warren started and completed 10,000 units of candy, of which 7,000 were sold. Based on this information, Warren would recognize which of the following amounts of expense on the income
Problem: “Eight balls were in the basket. Some of the balls were removed from the basket. Now there are six balls. How many balls were removed from the
a. Solve problem 56 on page 437 of Elementary and Intermediate Algebra. Set up the two ratios and write your equation choosing an appropriate variable for the bear population.
water during the equilibration period of 10 minutes. Vials 1,2, and 3 should be in the bath containing water at
2. I suppose the speaker sank to the bottom instead of swimming to the top because he was
Jameisha bought colored pencils at the store. She used 26 of them for an art project and had 12 left. How many colored pencils did Jameisha buy? Write an equation to solve this problem and solve it.
What formula or function does he put in columns B through F in Row 13 that will give him the total expenses for the week in each category?
Formulae = == == ===
∏i = (Pe + 40 - 100) x 100 = 100 x Pe –6,000 -------------------- [1]