Int Math 1 Handout (Standards: N-Q.A.1-3)

Transcription

1 Int Math 1 Handout (Standards: N-Q..1-3) 1 You want to model the speed of a motorcycle. Which units would be appropriate for measuring this quantity? 3 You want to model how the value of a gold mining company changes over time. Which units would be appropriate for measuring this quantity? kilometers per mile kilometers per hour minutes per hour hours per meter thousands of dollars per month dollars per euro dollars per ounce weeks per year 2 You want to model the pressure of water on a given area of a submarine. Which units would be appropriate for measuring this quantity? 4 yanna and Zoe are measuring the speed of a snail. Which units would be most appropriate for measuring this quantity? pounds per inch grams per cubic centimeter pounds per square inch square meters per liter miles per hour minutes per millimeter meters per second millimeters per minute 5 Maria buys lunch every work day. She always eats at the same restaurant and spends no more than $5.25 for lunch. She has created a budget in which she has allowed herself $1700 for the year to buy lunches during her five-day work week. ssume Maria spends the maximum she allows for each lunch. Write an equation to determine how much of her budget, in dollars, remains unspent at the end of a particular week of the year? Include definitions of the variables you used. = 26.25n 1700, where is her budget balance and n is the number of complete weeks of work = 5.25n 1700, where is her budget balance and n is the number of complete weeks of work = n, where is her budget balance and n is the number of complete weeks of work = n, where is her budget balance and n is the number of complete weeks of work 1

2 I: 6 The fuel for a chain saw is a mix of oil and gasoline. The ratio of ounces of oil to gallons of gasoline is 7:19. There are 38 gallons of gasoline. How many ounces of oil are there? 8 pipe is leaking at the rate of 8 fluid ounces per minute. Use dimensional analysis to find out how many gallons the pipe is leaking per hour. 7 Ramon drives his car 150 miles in 3 hours. Find the unit rate. 9 model of a boat is 13.2 inches long. The scale of the model to the original is 2 inches:5 feet. How long is the boat? 2

3 I: 10 Toya's dachshund puppy can sprint at a speed up to 15 feet per second. What is this speed in inches per second? 12 Kris is 1.5 meters tall and casts a shadow 4 meters long. t the same time, a statue casts a shadow 12 meters long. What is the height of the statue? 11 Nina can braid 48 inches of rope in 1 hour. What is her speed in feet per hour? 13 Kevin ran at a rate of 13 km/h. onvert his speed to meters per minute. 3

4 I: 14 Jesse plays table tennis for 60 minutes every week. How much time does Jesse spend playing table tennis in 3 weeks? 16 On a map, the distance from Happy Hill Park to Rainbow Valley Park is inches. The scale is 1 inch:3 miles. 2 What is the actual distance between the two parks? 15 car is traveling at a rate of 40 miles per hour. What is this speed in feet per minute? 17 printer prints 24 pages in 3 minutes. Which unit rate is correct? pages per minute 8 pages per minute 72 pages per hour 1440 pages per hour 4

5 I: 18 laser printer prints 135 pages in 5 minutes. How many pages does it print in 22 minutes? 20 The ratio of the sale price of a textbook to the original price is 1:3. The original price is $81. What is the sale price?. 19 certain cooking oil has a density of 0.91 grams per milliliter. Which of the following series of calculations correctly determines the mass, in kilograms, of 15 liters of this oil? 21 boat travels 36 miles in one hour. What is its speed in miles per minute? 15 L 1 L 1000 ml 0.91 g 1 ml 1 kg 1000 g 1000 ml 15 L 1 L 1000 ml 15 L 1 L 1000 ml 15 L 1 L 0.91 g 1 ml 1000 g 1 kg 1 ml 0.91 g 1000 g 1 kg 0.91 g 1 ml 1 kg 1000 g. 5

6 I: 22 boat travels 66 miles in 2 hours. What is its rate in feet per minute? 23 local store sells muffins for $0.75 each. The graph below shows a customer s total bill as a function of m muffins purchased, which can be represented by the function = 0.75m.. Explain the meaning of the point at the origin.. 6

7 I: 24 Four students calculated the volume of a 12.8 oz container. Their results are shown in the table. Whose calculation is the most accurate? Student Volume (oz) Wally Rex manda Joni kitten weighs lbs. Which of the following measurements is the most accurate? 2.2 lbs lbs 2.19 lbs 2.4 lbs 27 Perform the indicated operation. Write the answer with the correct number of significant digits ft x ft 25 Last Saturday it rained 3 inches. The reading from four rain gauges is shown in the table. Which rain gauge is the most accurate? Rain Gauge Rain (in.) Perform the indicated operation. Write the answer with the correct number of significant digits m m 7

8 I: 29 Perform the indicated operation. Write the answer with the correct number of significant digits in in. 32 The tolerance for a plank of wood at a factory is 3 yd ± yd. Which of the following does NOT fall within the specified tolerance? 30 seamstress measures an inseam to the nearest centimeter and reports its length as 71 cm. What is the least possible length of the inseam? What is the greatest possible length of the inseam? yd yd yd yd 33 In horse racing, different horses are often assigned different weights to carry. In a particular race, the standard weight carried is 53 kg. The weight carried by each horse cannot differ by more than 4 kg from the standard. What are the maximum and minimum acceptable weights for a horse to carry in this race? 31 hoose the possible range of the measurement 0.5 mg ± 0.2%. 0.3 mg 0.7 mg 0.48 mg 0.52 mg 0.49 mg 0.51 mg mg mg 8

9 I: 34 ups are being manufactured for a set. The diameter of the mouth of the cup must be 5 in. ± 0.04 in. sample of cups have the diameters shown in the table. Which cup is not within the specified tolerance? up iameter (in.) Which of these measurements is the most precise? 4 m 127 mm 1.3 km 5.14 cm 38 rectangle has a length of 4.2 feet and a width of 7.36 feet. How many significant digits does the area of the rectangle have? Write the possible range for the measurement 47 cm ± 2.2%. Round to the nearest hundredth if necessary. 36 triangle has side lengths 2.02 cm, cm, and 4.1 cm. What is the perimeter of this triangle to the correct number of significant digits? Which of the following calculated values will have three significant digits? E F The perimeter of a square with side length 1.02 ft The area of a square with side length m The perimeter of a triangle with side lengths 84.5 cm, 94 cm, and 117 cm The area of a triangle with base 4.50 in. and height in. The circumference of a circle with radius m The area of a circle with radius 5,000 ft 40 Three students weigh a 10.2 g copper sample in a hemistry lab. Which student was the most accurate? Student Weight (mg) rad 10.1 randon Meagan 10 9