University:
Purdue University
Course:
MA 15300 | College Algebra
Academic year:

2024
Views:

89

Pages:

3
Author:

Delphinixxc3

Question 1 My car gets 28 miles per gallon, and gasoline costs $2.90 per gallon. If we consider only the cost of gasoline, how much does it cost (in dollars) to drive each mile? Round your answer to the nearest cent. $ per mile Answer 1 Step 1: The car gets 28 miles per gallon, and gasoline costs $2.90 per gallon. Step 2: The cost of driving one mile is calculated as follows: Cost of 28 miles = 2.90 28 = 0.10357 Cost of 28 miles= 28 2.90 =0.10357 Rounding to the nearest cent: Cost per mile = 0.10 Cost per mile=0.10 Question 2 Express the following rate as a fraction in lowest terms: 5 2 cm/hr or 1 1 4 hours 2 5 cm/hr or 1 4 1 hours. Answer 1 Step 1: Convert the mixed fraction to an improper fraction: 1 1 4 = 5 4 hours 1 4 1 = 4 5 hours Step 2: Now express the rate: 5 2 × 4 5 = 17 4 2 5 × 5 4 = 4 17 Question 3 How do you simplify a fraction? Answer 1 Step 1: Simplifying fractions means reducing the fraction as much as possible. Step 2: To simplify a fraction, divide the top and bottom by the greatest common factor (GCF). For example, in the fraction: 12 48 48 12 The GCF of 12 and 48 is 12. 12 48 = 1 4 48 12 = 4 1 Question 4 What is 1 2 ÷ 3 5 2 1 ÷ 5 3 ? Answer 1 Step 1: Dividing fractions is the same as multiplying by the reciprocal. 1 2 ÷ 3 5 = 1 2 × 5 3 = 5 6 2 1 ÷ 5 3 = 2 1 × 3 5 = 6 5 Question 5 Two pizzas are the same size. One is cut into 6 pieces and the other is cut into 24 pieces. Is 1 out of 6 pieces the same amount of pizza as 3 out of 24 pieces? If they are not equal, which piece is larger? Justify your answer. Answer 1 Step 1: Compare the fractions 1 6 6 1 and 3 24 24 3 . Step 2: 1 6 = 4 24 6 1 = 24 4 So, 1 6 6 1 is larger than 3 24 24 3 . Therefore, 1 out of 6 pieces is larger than 3 out of 24 pieces.