Concept explainers
a
To find: The correct option.
a
Answer to Problem 58PFA
The answer is C: 15; the greatest number of sweatshirts that the class can buy.
Explanation of Solution
Given information: The function
Calculation:
As per the given problem
The zero of the function means when y = 0
So, when y = 0 then x = 15
And from the equation as the value of y increases the value of x decreases
Therefore y = 0 , x = 15 represents the maximum number of sweatshirts( x ) they can order for $180
Hence the answer is = C: 15; the greatest number of sweatshirts that the class can buy.
b
To calculate: The domain of the function in the context of the situation.
b
Answer to Problem 58PFA
The domain of the function is D= {0, 15}, which represents the number of sweatshirts the class can buy.
Explanation of Solution
Given information: The function
Calculation: The Domain of the function is the range of x i.e. the minimum and maximum value of x.
Now since x represents number of sweatshirts so it can’t be less than 0, so xmin = 0
And we already know xmax = 15 from above
Hence the range of x is {0, 15}.
c.
To calculate: The range of the function in the context of the situation.
c.
Answer to Problem 58PFA
The Range of the function is R= {0, 22}, which represents the number of T-shirts the class can buy.
Explanation of Solution
Given information: The function
Calculation: The range of the function is the range of y i.e. the minimum and maximum value of y
Now since y represents number of sweatshirts so it can’t be less than 0, so ymin = 0
For y to be maximum x will be minimum i.e. = 0
So put x = 0 in the above equation, we get,
Since y is an integer, so ymax= 22
Hence the range of y is {0, 22}.
Chapter 3 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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