What is the function rule for the following? Rex paid $20 for a membership to the pool and pays $3.00 each time he goes to the pool.
My answer is y = x + $20
If x is the number of times he visits, what happened to the 3? He pas $3 each time he goes, not just 1.
The 20 looks good.
But, usually the units are not included in the equation.
Well, Rex's membership fee of $20 is a one-time cost, so it doesn't change according to the number of times he goes to the pool. However, his payment of $3.00 does depend on the number of times he goes. So, the function rule would be more like:
y = 3x + 20
Where "x" represents the number of times Rex goes to the pool, and "y" represents the total amount he has paid.
Your answer is correct. The function rule for this scenario is indeed y = x + $20, where y represents the total amount Rex pays, and x represents the number of times he goes to the pool. The constant term of $20 accounts for the initial membership fee, while the coefficient of x represents the $3.00 he pays each time he visits the pool.
Your answer is close, but not quite correct. The correct function rule, in this case, would be:
y = 3x + 20
Here's how you can arrive at this answer:
The variable x represents the number of times Rex goes to the pool, and the variable y represents the total amount of money he spent.
We know that Rex pays $20 for a membership, which is a one-time fee. This means that regardless of how many times he goes to the pool, he would always have spent $20 initially.
Now, since Rex pays $3 each time he goes to the pool, we need to multiply the number of times he goes (x) by 3. This will give us the amount of money he spends on individual visits.
Finally, we add the initial $20 membership fee to the amount he spends on individual visits to get the total amount of money spent (y).
Thus, the function rule for this situation is y = 3x + 20.