Page 589 - Algebra 1

13. Multi-Step A grower ships fruit to a processing plant in 50-pound cases. The plant (74) will not accept cases that differ from this weight by more than ±0.5 pound.
a. Write an absolute-value equation to find the minimum and maximum weights of the cases that the processing plant will accept.
b. What are the maximum and minimum acceptable weights?
14. Hiking Heidi can hike the mountains at 2 miles per hour. She has already hiked (77) 5 miles and wants to be sure to turn around before she hikes more than 9 miles. To
find the number of hours she can hike before she needs to turn around, solve the inequality 2m + 5 ≤ 9.
15. Multi-Step The local public library has a budget of $3000 to buy new children’s
(78) books. The library will receive 100 free books_when it places its order. The number
3000
of books, y, that they can get is given by y = x + 100, where x is the price
per book.
a. What is the horizontal asymptote of this rational function?
b. What is the vertical asymptote?
c. If the price per book is $20, how many books will the library receive?
16. Generalize How do you know when a trinomial is factored completely? (79)
17. Painting Job Marco paints walls and charges a $20 set-up fee. He charges at
(82) least $60 per big wall, and for small walls he charges no more than $40 per wall.
He has just completed a job painting either all big walls or all small walls. His invoice states that he received $2420 in payment. How many walls could he have painted?
Measurement A map has a scale 1 cm:500 m. A circular pond on the map has an pond?
3 4 18.
(83) area of 9x2π - 6xπ + π square centimeters. What is the actual diameter of the
19. Multiple Choice The graph of which function opens downward? (84) A -8y+3x2 =4+7x B -12x2 +15y=18
C -y+36x=x2 +40 D -15+9y=45x2 -3x
*20. Write Explain how to graph a quadratic function such as y + 28x - 3 = 50x2 + 7.
(84)
21. Use the Pythagorean Theorem to find the missing side length. (85) Give the answer in simplest radical form.
*22. Do the lengths 10, 5√ 5, and 15 form a right triangle? (85)
√13
√7 x
23. Art Theresa is painting on a triangular canvas. The lengths of the sides of the (85) canvas are 24 inches, 32 inches, and 42 inches. Is her canvas a right triangle?
574 Saxon Algebra 1