Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
Chapter 3, Problem 45SGR
(a)
To determine
Graph the data.
(a)
Expert Solution
Answer to Problem 45SGR
Explanation of Solution
Given:
The table shows the cost of picking your own strawberries at a farm
Concept Used:
The x -intercepts are where the graph crosses the x -axis, and the y -intercepts are where the graph crosses the y -axis.
Then, algebraically,
- an x -intercept is a point on the graph where y is zero, and
- a y -intercept is a point on the graph where x is zero.
More specifically,
- an x -intercept is a point in the equation where the y -value is zero, and
- a y -intercept is a point in the equation where the x -value is zero.
Calculation:
In order to plot the points in graph we take all points from the table. The points are (1,1.25),(2,2.50),(3,3.75), and (4,5.0) and plot in graph as shown below:
(b)
To determine
The equation in function notation to describe the relationship .
(b)
Expert Solution
Answer to Problem 45SGR
The equation in function notation is y=1.25x
Explanation of Solution
Given:
Concept Used:
The slope of a line connecting the points (x1,y1), and (x2,y2) is given by the formula
Slope (m)=y2−y1x2−x1
The equation for line is y−y1=m(x−x1)
Calculation:
In order to find the average rate of change the points (1,1.25), and (2,2.50) , use the slope formula and substitute the values (x1,y1)=(1,1.25), and (x2,y2)=(2,2.50) and simplify further as shown below,
Slope (m)=y2−y1x2−x1=2.50−1.252−1=1.25Equation for the sequence isy−y1=m(x−x1)y−1.25=1.25(x−1)y−1.25=1.25x−1.25y−1.25+1.25=1.25x−1.25+1.25y=1.25x
Thus, the equation in function notation is y=1.25x
(c)
To determine
Cost to pick 6 pounds of strawberries.
(c)
Expert Solution
Answer to Problem 45SGR
The cost to pick 6 pounds of strawberries is y=7.5 .
Explanation of Solution
Calculation:
In order to find the cost to pick 6 pounds of strawberries as shown below:
y=1.25xy=1.25×6y=7.5
Thus, the cost to pick 6 pounds of strawberries is y=7.5 .
Chapter 3 Solutions
Algebra 1
Ch. 3.1 - Prob. 35PPSCh. 3.1 - Prob. 58PPSCh. 3.1 - Prob. 60HPCh. 3.1 - Prob. 68STPCh. 3.1 - Prob. 1ACYPCh. 3.1 - Prob. 1BCYPCh. 3.1 - Prob. 2CYPCh. 3.1 - Prob. 3CYPCh. 3.1 - Prob. 4ACYPCh. 3.1 - Prob. 4BCYP
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