A gym membership costs $25 to join and $14 each month. Write and use an algebraic expression to find the cost of the gym members
1 answer:
Answer:
See below.
Step-by-step explanation:
So we know that a gym membership costs $25 plus $14 each month.
In other words, the one-time cost is $25 and there will be a cost of $14 each month.
We can write this as:
Where f(x) equals the total cost given the number of months x.
For 6 months, the total cost will be:
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Answer: 1) The minimum price, in dollars, to avoid a loss = 22,
2) the maximum price in dollars , to avoid a loss = 53,
3) The price that results the maximum profit = 37.5 dollars
Step-by-step explanation:
Since the given function that shows the total profit,
Where x is the price of the product.
Since for avoiding the loss,
,
⇒
If
If
Thus, 53 ≥ x ≥ 22,
Therefore, the minimum price to avoid the loss = $ 22
And, the minimum price to avoid the loss = $ 53
⇒
Now, For maximum or minimum,
,
⇒
⇒
⇒
For x = 37.5, f''(x) is negative,
Thus, For the price of $ 37.5 dollars the company has the greatest profit.