A car rents for $70 a week plus 15¢ per mile. a. Write an equation for the weekly cost C. Let m rep- resent the weekly mileage. b. Graph the equation. bro

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question 48 please Thank you
46. Show
the vertices of a right triangle.
47. A quadrilateral has vertices A(0,2), B(12,6), C(14,0),
and D(2, –4). Show that quadrilateral ABCD is a
rectangle.
(48.)A car rents for $70 a week plus 15¢
a. Write an equation for the weekly cost C. Let m rep-
resent the weekly mileage.
b. Graph the equation.
49. A gasoline pump can fill a 15-gal tank in 3 minutes.
Assume the relationship between gallons and time can
be represented by a line through the origin. Calculate
and interpret the slope of the line.
50. The weight (w) of a solid cube varies directly as the
cube of an edge (e). If a cube with edge 8 in. weighs
10 lb, what will a cube with edge 7 in. made of the
same material weigh? Round to the nearest tenth of
a pound.
51. Solve |x 3 = 4. Use both an algebraic and a geo-
metric interpretation.
52. Solve x – 4| < 1. Use both an algebraic and a geo-
metric interpretation.
53. Solve 2 + 3x| 2 1. Express the solution set graphi-
cally and in interval notation.
54. Fill in the missing component in each of the following
ordered pairs so they are solutions of the equation
y = -2x + 4: (0, ), ( ,-1), (-1, ),(,0),
(3, ).
per
mile.
Transcribed Image Text:46. Show the vertices of a right triangle. 47. A quadrilateral has vertices A(0,2), B(12,6), C(14,0), and D(2, –4). Show that quadrilateral ABCD is a rectangle. (48.)A car rents for $70 a week plus 15¢ a. Write an equation for the weekly cost C. Let m rep- resent the weekly mileage. b. Graph the equation. 49. A gasoline pump can fill a 15-gal tank in 3 minutes. Assume the relationship between gallons and time can be represented by a line through the origin. Calculate and interpret the slope of the line. 50. The weight (w) of a solid cube varies directly as the cube of an edge (e). If a cube with edge 8 in. weighs 10 lb, what will a cube with edge 7 in. made of the same material weigh? Round to the nearest tenth of a pound. 51. Solve |x 3 = 4. Use both an algebraic and a geo- metric interpretation. 52. Solve x – 4| < 1. Use both an algebraic and a geo- metric interpretation. 53. Solve 2 + 3x| 2 1. Express the solution set graphi- cally and in interval notation. 54. Fill in the missing component in each of the following ordered pairs so they are solutions of the equation y = -2x + 4: (0, ), ( ,-1), (-1, ),(,0), (3, ). per mile.
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