The table shows the amount of time spent at a park and the admission fee the park charges. Find the rate of charge in the fee with respect to time spent at the park and interpret its meaning.

x= time hours 4 5 6
y= admission fees $34.99 $34.99 $34.99

To find the rate of charge in the fee with respect to time spent at the park, we need to calculate the rate of change of the fee with respect to the time.

Step 1: Calculate the change in the fee.
Change in fee, Δy = y2 - y1
= $34.99 - $34.99
= $0

Step 2: Calculate the change in time.
Change in time, Δx = x2 - x1
= 5 - 4
= 1 hour

Step 3: Calculate the rate of charge.
Rate of charge = Δy / Δx
= $0 / 1 hour
= $0/hour

Interpretation:
The rate of charge in the fee with respect to time spent at the park is $0/hour. This means that the admission fee remains constant at $34.99 regardless of the amount of time spent at the park. In other words, there is no additional charge for spending more or less time at the park.

To find the rate of charge in the fee with respect to time spent at the park, we need to calculate the derivative of the fee (y) with respect to time (x). However, since the admission fee ($34.99) remains constant for all values of x, the derivative would be zero.

In this case, the rate of charge in the fee with respect to time spent at the park is zero. This means that the fee does not change with the time spent at the park. Whether you spend 4, 5, or 6 hours at the park, the admission fee will always be $34.99.

In simpler terms, the park charges a fixed admission fee of $34.99 regardless of how much time you spend there.

what? No ideas? The fee is constant.