CHECK POINT 3 The toll to a bridge costs $2. If you use the bridge x times in a month, the monthly cost, y , is y = 2 x . With a $10 discount pass, the toll is reduced to $l. The monthly cost, y , of using the bridge x times in a month with the discount pass is y = 10 + x . a. Let x = 0 , 2 , 4 , 6 , 8 , 10 , and 12. Make tables of values showing seven solutions of y = 2 x and seven solutions of y = 10 + x . b. Graph the equations in the same rectangular coordinate system . c. What are the coordinates of the intersection point for the two graphs? Interpret the coordinates in practical terms.
CHECK POINT 3 The toll to a bridge costs $2. If you use the bridge x times in a month, the monthly cost, y , is y = 2 x . With a $10 discount pass, the toll is reduced to $l. The monthly cost, y , of using the bridge x times in a month with the discount pass is y = 10 + x . a. Let x = 0 , 2 , 4 , 6 , 8 , 10 , and 12. Make tables of values showing seven solutions of y = 2 x and seven solutions of y = 10 + x . b. Graph the equations in the same rectangular coordinate system . c. What are the coordinates of the intersection point for the two graphs? Interpret the coordinates in practical terms.
Solution Summary: The author explains how to determine the table for the equations y=2x and
CHECK POINT 3 The toll to a bridge costs $2. If you use the bridge x times in a month, the monthly cost, y, is
y
=
2
x
. With a $10 discount pass, the toll is reduced to $l. The monthly cost, y, of using the bridge x times in a month with the discount pass is
y
=
10
+
x
.
a. Let
x
=
0
,
2
,
4
,
6
,
8
,
10
, and 12. Make tables of values showing seven solutions of
y
=
2
x
and seven solutions of
y
=
10
+
x
.
b. Graph the equations in the same rectangular coordinate system.
c. What are the coordinates of the intersection point for the two graphs? Interpret the coordinates in practical terms.
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
Compound Interest Formula Explained, Investment, Monthly & Continuously, Word Problems, Algebra; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=P182Abv3fOk;License: Standard YouTube License, CC-BY
Applications of Algebra (Digit, Age, Work, Clock, Mixture and Rate Problems); Author: EngineerProf PH;https://www.youtube.com/watch?v=Y8aJ_wYCS2g;License: Standard YouTube License, CC-BY