Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 3, Problem 45SGR

(a)

To determine

Graph the data.

(a)

Expert Solution
Check Mark

Answer to Problem 45SGR

  Algebra 1, Chapter 3, Problem 45SGR , additional homework tip 1

Explanation of Solution

Given:

The table shows the cost of picking your own strawberries at a farm

  Algebra 1, Chapter 3, Problem 45SGR , additional homework tip 2

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:

  Algebra 1, Chapter 3, Problem 45SGR , additional homework tip 3

(b)

To determine

The equation in function notation to describe the relationship .

(b)

Expert Solution
Check Mark

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
Check Mark

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 .

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Chapter 3, Problem 44SGR
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Chapter 3, Problem 2PT

Chapter 3 Solutions

Algebra 1

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