University:
Georgia Southern University
Course:
MATH 2242 | Calculus II
Academic year:

2024
Views:

201

Pages:

2
Author:

Jarrett Brock

Question 1 A car moving at a constant speed travels 88 feet in 2 seconds. Use a proportion to find how many feet it travels in one minute. Answer Step 1 Speed is given by: Speed = Distance Time Speed= Time Distance Speed = 88 ft 2 s = 44 ft/s . Speed= 2s 88ft =44ft/s. Step 2 Find distance traveled in 1 minute (60 seconds): Distance = Speed × Time . Distance=Speed×Time. Distance = 44 ft/s × 60 s = 2640 ft . Distance=44ft/s×60s=2640ft. Question 2 How do you write four meters to 150 centimeters ratio? Answer Convert units so they are the same: 4 meters = 400 cm. Step 1 Write the ratio in meters:centimeters: 4 m : 150 cm . 4m:150cm. Step 2 Write in centimeters: 400 cm : 150 cm . 400cm:150cm. Simplify: 400 150 = 8 3 . 150 400 = 3 8 . The simplified ratio is 8 : 3 8:3. Question 3 On a map, the distance between Atlanta, Georgia, and Nashville, Tennessee, is 12.5 inches. The actual distance between these two cities is 250 miles. What is the scale? Answer The map distance is 12.5 inches, and the real distance is 250 miles. Scale is given by: Scale = Actual distance Map distance . Scale= Map distance Actual distance . Scale = 250 miles 12.5 inches = 20 miles per inch . Scale= 12.5inches 250miles =20miles per inch. Thus, the scale is 1 inch = 20 miles. Question 4 How many years are there in 1.4 billion seconds? Answer 1 day = 86,400 seconds. 1 year = 365 days = 365 × 86 , 400 = 31 , 536 , 000 seconds . 365×86,400=31,536,000seconds. Step 1 Divide total seconds by the number of seconds in 1 year: Years = 1 , 400 , 000 , 000 31 , 536 , 000 . Years= 31,536,000 1,400,000,000 . Years = 44.394. Years=44.394. Thus, 1.4 billion seconds is approximately 44.4 years. Question 5 Alexis is making cookies. The recipe says that she has to mix 192 grams of sugar into the flour. Alexis knows that 1 cup of this particular sugar has a mass of 128 grams. How many cups does she need? Answer Divide the total sugar needed (192 grams) by the sugar per cup (128 grams): Cups = 192 128 = 1.5. Cups= 128 192 =1.5. Thus, Alexis needs 1.5 cups of sugar.