joel is looking at costs for using a gym. he could pay $50 per month for unlimited use or he could pay $12 per month plus $4 per visit. how many visits would he have to make the $50 per month unlimited use option the cheapest one ?
4n + 12 > 50
He would have to go to the gym at least 10 times each month to make the unlimited use option the cheapest.
Caleb is looking at costs for using a gym. He could pay $50 per month for unlimited use or he could pay $12 per month plus $4 per visit. How many visits would he have to make each month to make the $50 per month unlimited use option the cheapest one?
Create an inequality, solve, an
To find out how many visits Joel would need to make for the $50 per month unlimited use option to be the cheapest, we need to compare the costs of both options.
Let's use "x" to represent the number of visits Joel would need to make.
For the first option of unlimited use at $50 per month, the cost remains constant regardless of the number of visits.
For the second option of $12 per month plus $4 per visit, the cost can be calculated as follows:
Cost = $12 + ($4 * x)
To determine when the second option becomes more expensive than the first option, we need to set up an inequality:
$12 + ($4 * x) > $50
Now, we can solve the inequality to find the minimum number of visits required:
$4 * x > $50 - $12
$4 * x > $38
x > $38 / $4
x > 9.5
Since Joel cannot have a fraction of a visit, he would have to make at least 10 visits for the $50 per month unlimited use option to be more cost-effective than the $12 per month plus $4 per visit option.
To determine how many visits Joel would have to make for the $50 per month unlimited use option to become cheaper than the $12 per month plus $4 per visit option, we can set up an equation and solve it.
Let's denote the number of visits Joel would make as "v". For the $50 per month unlimited use option, Joel would just pay $50 per month, regardless of the number of visits. For the $12 per month plus $4 per visit option, Joel would pay $12 per month plus $4 for each visit.
So, for the $50 per month unlimited use option to be cheaper, we want to find the value of "v" for which:
$50 < $12 + $4v
To solve this inequality, we can subtract $12 from both sides:
$50 - $12 < $12 - $12 + $4v
$38 < $4v
Then, divide both sides by $4 to isolate "v":
$v > $38 / $4
v > 9.5
Since it is not possible to have a fraction of a visit, Joel would need to make at least 10 visits for the $50 per month unlimited use option to be cheaper.
In conclusion, Joel would have to make at least 10 visits for the $50 per month unlimited use option to be the cheaper choice compared to the $12 per month plus $4 per visit option.