
a.
To write: an equation that represents cost of belonging to the gyms.
a.

Answer to Problem 73STP
Explanation of Solution
Given:
There are two option that is shown below:
OPTION 1 | OPTION 2 |
$ 400/year | $150/ year |
Unlimited visit | 5 visits |
Calculation:
Let x be the number of visits in the gym.
According to the question,
Hence, the system of the equation is
b.
To graph: the equation and estimate the break-even point for the gym membership.
b.

Answer to Problem 73STP
Explanation of Solution
Given:
There are two option that is shown below:
OPTION 1 | OPTION 2 |
$ 400/year | $150/ year |
Unlimited visit | 5 visits |
Calculation:
Let x be the number of visits in the gym.
From part (a),
Now, draw the graph of the above equation:
At break-even point:
Hence, the break-even point for the gym membership is
c.
To explain: the meaning of breakeven point.
c.

Answer to Problem 73STP
Below 50 option 2 would be preferable.
Otherwise option 1 is preferable.
Explanation of Solution
Given:
There are two option that is shown below:
OPTION 1 | OPTION 2 |
$ 400/year | $150/ year |
Unlimited visit | 5 visits |
Calculation:
Let x be the number of visits in the gym.
From part (a),
Breakeven point of means that if a person visits 50 times in a year then both the option will be equivalent.
Thus, below 50 option 2 would be preferable.
Otherwise option 1 is preferable.
At break-even point:
Hence, the break-even point for the gym membership is
c.
To explain: the meaning of breakeven point.
c.

Answer to Problem 73STP
Below 50 option 2 would be preferable.
Otherwise option 1 is preferable.
Explanation of Solution
Given:
There are two option that is shown below:
OPTION 1 | OPTION 2 |
$ 400/year | $150/ year |
Unlimited visit | 5 visits |
Calculation:
Let x be the number of visits in the gym.
From part (a),
Breakeven point of means that if a person visits 50 times in a year then both the option will be equivalent.
Thus, below 50 option 2 would be preferable.
Otherwise option 1 is preferable.
At break-even point:
d.
To explain: that which of the given option is preferable if he go once in a week.
d.

Answer to Problem 73STP
Option 1 is preferable.
Explanation of Solution
Given:
There are two option that is shown below:
OPTION 1 | OPTION 2 |
$ 400/year | $150/ year |
Unlimited visit | 5 visits |
Calculation:
If anybody goes gym once in a week, then they go 52 days in 1 year.
From part (c),
Below 50 option 2 would be preferable.
Otherwise option 1 is preferable.
Hence, option 1 is preferable.
Chapter 3 Solutions
Algebra 2
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