My teacher wants me to calculate the rate of enzyme activity (1/s)

I'm given the temperatures: 0 , 15, 30, ,50, and 80 (degrees celsius)

AND

the times 8.74, 18.83, 14.30, 34.22, and infinity respectively (seconds obviously, these are the times it took the enzyme to react)

What am i supposed to do? i don't understand fully.

To calculate the rate of enzyme activity, you need to determine the change in reaction time (in seconds) and the change in temperature (in degrees Celsius) over a given interval. The enzyme activity is typically reported as units per second (1/s).

In this case, you have a series of temperatures (0, 15, 30, 50, and 80 degrees Celsius) and the corresponding reaction times (8.74, 18.83, 14.30, 34.22, and infinity seconds).

To calculate the rate of enzyme activity at each temperature, you need to determine the change in reaction time over a fixed interval of temperature. However, since you have the last reaction time as "infinity," you won't be able to calculate the rate of enzyme activity at the highest temperature (80 degrees Celsius). So you will only be able to calculate rates for four temperature intervals.

Here's how you can calculate the rate of enzyme activity for each temperature interval:

1. Calculate the change in reaction time (∆t) for each pair of consecutive temperature-time values. Subtract the earlier time from the later time.

For example:
∆t1 = 18.83 - 8.74
∆t2 = 14.30 - 18.83
∆t3 = 34.22 - 14.30

2. Calculate the change in temperature (∆T) for each temperature interval. Subtract the earlier temperature from the later temperature.

For example:
∆T1 = 15 - 0
∆T2 = 30 - 15
∆T3 = 50 - 30

3. Calculate the rate of enzyme activity (1/s) for each temperature interval by dividing the change in reaction time (∆t) by the change in temperature (∆T). This will give you the rate of enzyme activity in units per second for each temperature interval.

For example:
Rate1 = ∆t1 / ∆T1
Rate2 = ∆t2 / ∆T2
Rate3 = ∆t3 / ∆T3

Make sure to include the units when reporting the calculated rates of enzyme activity.

Please note that since you have an "infinity" value for the last temperature, you won't be able to calculate the rate of enzyme activity for that temperature interval.