What is the function rule for the following situations? Rex paid $20 for a membership to the pool and pays $3 each time he goes to the pool
The function rule for this situation can be written as:
f(x) = 3x + 20
where x is the number of times Rex goes to the pool and f(x) represents the total amount of money he spends on pool membership and visits.
The initial cost of $20 is added to the product of the cost per visit ($3) and the number of visits.
To determine the function rule for this situation, we need to identify the input and output values.
In this case, the input value is the number of times Rex goes to the pool, and the output value is the total amount of money he has spent.
From the given information, we know that Rex paid $20 for a membership to the pool. This initial payment is a fixed cost, regardless of the number of times he goes. Therefore, the initial cost of $20 is the y-intercept of our function.
Additionally, Rex pays $3 each time he goes to the pool. This additional cost is proportional to the number of visits he makes. Each visit costs $3, which means that the slope of our function is $3.
With this information, we can write the function rule:
Total cost = (slope × number of visits) + initial cost
Total cost = (3 × number of visits) + 20
Therefore, the function rule for this situation is:
Total cost = 3x + 20, where x represents the number of times Rex has visited the pool.
The function rule for this situation can be represented as follows:
Let's define "x" as the number of times Rex goes to the pool.
The function rule is then given by:
f(x) = 20 + 3x
In this expression, 20 represents the initial cost of the membership, and 3x represents the cost per visit (multiplied by the number of times he goes to the pool). The total cost can be found by evaluating the function f(x) for a specific value of x.