University:
University of Michigan
Course:
MATH 115 | Calculus I
Academic year:

2024
Views:

351

Pages:

2
Author:

Luciano Kirby

Question 1 Find the x- and y-intercepts of this equation. -2x + 5y = 20 Answer Calculation: Consider the following function -2x + 5y = 20 For x-intercept put y = 0 -2x + 5(0) = 20 -2x = 20 x = 20 / -2 x = -10 Hence, the x-intercept is at (-10, 0) For y-intercept put x = 0 -2(0) + 5y = 20 5y = 20 y = 20 / 5 y = 4 Hence, the y-intercept is at (0, 4) Question 2 To calculate:The score Lily must earn on her fifth test to have an average of 80 if on Lily's four College Algebra tests, her scores were 71, 79, 83 and 89. Answer Formula used: The Average formula, Average = sum of values/number of values Calculation: Consider the given data. Suppose that Lily needs to score x marks on her fifth test. Since on Lilys Question 3 To calculate:The average cost when 1000 books are produced and 32000 books are produced. Answer Given: The total cost (in dollars) of producing x college algebra books is C(x) = 42.5x + 80,000. Formula used: Average Cost = Total cost of books / Total number of books Calculation: To find the total cost of producing 1000 books, replace the value of x = 1000 in the given cost function. C(x) = 42.5x + 80,000 C(1000) = 42.5(1000) + 80,000 C(1000) = 122,500 The total cost for the production of 1000 books is $122, 500. Now use the formula: Average cost = 122,500 / 1000 = 122.50 The average cost for the production of 1000 books is $122.50. For 32,000 books, C(x) = 42.5x + 80,000 C(32, 000) = 42.5(32,000) + 80,000 C(32, 000) = 1,360,000 + 80,000 C(32,000) = 1,440,000 The total cost for the production of 32000 books is $1, 440, 000. Now again use the formula: Average cost = 1,440,000 / 32000 = 45 The average cost for the production of 32000 books is $45.