
a.
To write an inequality equation.
a.

Answer to Problem 5.6.7P
Explanation of Solution
Given information:
Each peach smoothie profit is $2.25
Each berry smoothie profit is $2
Number of peach smoothies are 'p'
Number of berry smoothies are 'b'
Total profit of per day is more than $90
Calculation:
Each peach smoothie profit=$2.25
Each berry smoothie profit=$2
Number of peach smoothies=p
Number of berry smoothies= b
Total profit of per day > $90
Then,
Profit constraint
b.
To graph the solution of inequality.
b.

Explanation of Solution
Given information:
Graph:
Calculation:
Rewriting the equation,
Slope intercept form
Means -1.125 unit change in y-coordinate with respect to 1 unit change in x-coordinate
Y-intercept: (0, 45)
Ordinary equation
Substituting p=0
Then b=45
Substituting b=0
Then x=20
Table of p and b is given below
p | b |
0 | 45 |
40 | 0 |
Then graph is given below
For the shaded region,
Take a point above the line
Point (20,30) is below line put in inequality equation
On solving,
On solving,
105>90 is true
The region is above line
Then graph of inequality is given below
c.
To find number of berry smoothies on Monday.
c.

Answer to Problem 5.6.7P
22.5 or more berry smoothies sold on Monday.
Explanation of Solution
Given information:
20 peach smoothies sold on Monday
Calculation:
Number of peach smoothies sold on Monday, p=20
Then number of berry smoothies sold on Monday, b
On solving,
On solving,
On solving,
Hence, 22.5 or more berry smoothies sold on Monday.
d.
To find minimum number of smoothies sold on Tuesday to made daily goal.
d.

Answer to Problem 5.6.7P
Minimum 40 smoothies will be sold.
Explanation of Solution
Given information:
Calculation:
For making daily goal by minimum number of smoothies sold
Then to sold peach smoothies and not sold berry smoothies
Means
b=0
Substituting values of b in inequality equation
On solving,
On solving,
Hence, minimum 40 smoothies will be sold.
Chapter ISG Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Additional Math Textbook Solutions
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Basic Business Statistics, Student Value Edition
A First Course in Probability (10th Edition)
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