Page 76 - Algebra 1

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Physics The magnitude of the instant acceleration of an object in uniform circular motion is found using the formula a = v_2 , where r is the radius of the circle and v is
v_2 r
the constant speed. Evaluate a = r if v = 35 cm/s and r = 200 cm.
Retailing A grocery store is having a sale on strawberries. Suppose 560 pints of strawberries are sold at a loss of $0.16 for each pint. How much money does the store lose on the sale of the strawberries?
Ocean Travel The deepest point of the Kermandec trench in the Pacific Ocean is 10,047 meters below sea level. A submarine made two dives from above the deepest point of the trench at a rate of 400 meters per minute. The first of the two dives was 10 minutes long and the second was 4 minutes. How far did the submarine travel in each dive?
Add -1.06 + 2.01 + 4.13.
Multi-Step A purple string is 0.99 m long. A green string is 0.23 m long. What is
the difference in length of the two pieces?
a. Estimate Estimate the difference using fractions.
b. Find the exact value of the difference using fractions.
Error Analysis Two students solved a homework problem as shown below. Which
student is correct? Explain the error.
Student A
Evaluate 3g - 4(g + 2b); g = 9 and b = 4.
3(9) - 4(9 + 2(4))
27 - 4(17)
23(17) 391
Student B
Evaluate 3g - 4(g + 2b); g = 9 and b = 4.
3(9) - 4(9 + 2(4))
27 - 4(17)
27 - 68 -41
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Science Scientists can use the expression 2.6f + 65 to estimate the height of a person if they know the length of the femur bone, f. What is the approximate height of a person if the femur bone is 40 centimeters long?
Error Analysis The highest point in North America, Mount McKinley, in the Alaska Range, is 20,320 feet above sea level. The lowest point in North America is 282 feet below sea level and is in Death Valley in California. Which student correctly calculated the difference in elevations? Explain the error.
Student A
20,320 - 282 20,320 + (-282) 20,038 feet
Student B
20,320 - (-282) 20,320 + (+282) 20,602 feet
Lesson 11 61