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Unit conversion The formula for density d is

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Presentation on theme: "Unit conversion The formula for density d is "β€” Presentation transcript:

1 Unit conversion The formula for density d is 𝑑= π‘š 𝑣 where m is mass and v is volume. If mass is measured in kilograms and volume is measured in cubic meters, what is the unit rate for density? a.) meters cubed-kilograms b.) kilograms-meters cubed c.) density kilograms d.) mass-volume

2 Unit conversion Anabel studied for 3.5 hours. There are 60 minutes in 1 hour. How many minutes did Anabel study? a.) 35 minutes b.) 17 minutes c.) 180 minutes d.) 210 minutes

3 Unit conversion A rattlesnake is 2.44 meters long. There are 100 centimeters in a meter. How long is the snake in centimeters? a.) 2440 cm b.) 244 cm c.) 24.4 cm d.) 2.44cm

4 Unit conversion Ronny ran 2 miles on Saturday. There are 5,280 feet in a mile. How many feet did he run? a.) 10, 560 ft b.) 2, 640 ft c.) 100, 560 ft d.) 1, 560 ft

5 Plugging in The kinetic energy of an object in motion is found by using the formula 𝐾𝐸= 1 2 π‘š 𝑣 2 , where m is the mass of the object in kilograms and v is the velocity of the object in meters per second. If the velocity of the object is 12 meters per second, what is the coefficient of m? a.) 72 meters/second b.) 6 meters/second c.) 60 meters/second d.) 7.2 meters/second

6 Plugging in Using the exponential decay model 𝑦=π‘Ž (1βˆ’π‘Ÿ) 𝑑 , where a is the initial amount, r is the percent decrease expressed as a decimal and t is the time, write a model and find the value after 6 years of an iPod Touch that initially cost $300, and is expected to decrease by 15% per year. a.) $ b.) $ c.) $225 d.) $503

7 Plugging in Nuclear energy derived from radioactive isotopes can be used to supply power to space vehicles. Suppose that the output of the radioactive power supply for a certain satellite is given by the function: f(x) = 30e-0.003t. In the function f(x) is measured in watts and t is time in days. How many watts will the radioactive supply produce after 300 days? a.) 27.4 b.) 29.5 c.) 12.2 d.) 73.9

8 Plugging in A rectangle has an area of 30 cm2 and a length of 10 cm. What is the width? a.) 3 cm b.) 300 cm c.) 10cm d.) 0.3 cm

9 Literal equations What is the solution to the equation a – b = c when solved for a? a.) – b = c – a b.) a = b + c c.) a = b*c d.) b = a – c

10 Literal equations What is the solution to the equation 2x + y = z when solved for x? a.) 2π‘₯=π‘§βˆ’π‘¦ b.) π‘₯= π‘§βˆ’π‘¦ 2 c.) 𝑦=βˆ’2π‘₯+𝑧 d.) π‘₯= π‘§βˆ—π‘¦ 2

11 Literal equations What is the solution to the equation d = rt when solved for t? a.) 𝑑= 𝑑 π‘Ÿ b.) 𝑑= π‘Ÿ 𝑑 c.) π‘Ÿ= 𝑑 𝑑 d.) π‘Ÿ= 𝑑 𝑑

12 Literal equations What is the solution to the equation a = 3b + 4c when solved for c? a.) 4𝑐=π‘Žβˆ’3𝑏 b.) 3𝑏=π‘Žβˆ’4𝑐 c.) 𝑐= π‘Žβˆ’3𝑏 4 d.) 𝑏= π‘Žβˆ’4𝑐 3

13 Writing expressions Write a model that represents the following: Student tickets to a football game cost $5 and adult tickets cost $8. The total amount of money brought in from ticket sales was $2,200. a.) x + y = 2200 b.) x – y = 2200 c.) 5x – 8y = 2200 d.) 5x + 8y = 2200

14 Writing expressions A rectangle is 15ft longer than it is wide. Its perimeter is at least 72ft. Write a model for the smallest possible dimensions for the rectangle. a.) 2𝑀+15β‰₯72 b.) 4𝑀+30β‰₯72 c.) 2𝑀+2𝑙≀72 d.) 4π‘₯+30≀72

15 Writing expressions Jodie works at an electronics store as a salesperson. She receives a weekly salary of $275 plus she makes commission in the amount of 5% of what she sells. Which of the following represents her total earnings, E, in terms of s, the number of electronics she sells, not including any taxes? a.) E + .05s = 275 b.) E + 5s = 275 c.) E = s d.) E = s

16 Writing equations The length of a rectangle is 4 units less than 6 times its width. The area of the rectangle is 129 square units. Which of the following equations can be used to find w, the width of the rectangle? a.) 7w – 24 = 129 b.) 6w2 – 4w = 129 c.) 7w – 4 = 129 d.) 6w2 – 24w = 129


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