A team of marine biologists studied the acoustic activity of the snapping shrimp (*Alpheus… — ACT

A team of marine biologists studied the acoustic activity of the snapping shrimp (*Alpheus heterochaelis*) under controlled laboratory conditions. They measured the average snap rate (in snaps per minute) across three water temperatures and two salinity levels ( $30\text{ PSU}$ and $36\text{ PSU}$ ).

Table 1

Water Temperature ( $^\circ\text{C}$ )	Snap Rate at $30\text{ PSU}$ (snaps/min)	Snap Rate at $36\text{ PSU}$ (snaps/min)
$18$	$45$	$50$
$22$	$65$	$85$
$26$	$109$	$130$

Based on Table 1, what was the average rate of increase in snap rate (in snaps/min per $1^\circ\text{C}$ ) for shrimp kept at a salinity of $36\text{ PSU}$ as the water temperature increased from $18^\circ\text{C}$ to $26^\circ\text{C}$ ?

A
$8.0\text{ snaps/min per }^\circ\text{C}$
$10.0\text{ snaps/min per }^\circ\text{C}$ Answer
C
$40.0\text{ snaps/min per }^\circ\text{C}$
D
$80.0\text{ snaps/min per }^\circ\text{C}$

Answer

The average rate of increase in snap rate for shrimp at

36\text{ PSU}

from

18^\circ\text{C}

26^\circ\text{C}

10.0\text{ snaps/min per }^\circ\text{C}

To find the average rate of increase per

1^\circ\text{C}

, determine the difference in snap rate at

36\text{ PSU}

between

18^\circ\text{C}

and

26^\circ\text{C}

, which is

130 - 50 = 80\text{ snaps/min}

. Then divide by the temperature span of

26 - 18 = 8^\circ\text{C}

, yielding

80 / 8 = 10.0\text{ snaps/min per }^\circ\text{C}

Step-by-Step Solution

Locate the snap rates for

36\text{ PSU}

18^\circ\text{C}

and

26^\circ\text{C}

in Table 1.

18^\circ\text{C}

, snap rate =

50\text{ snaps/min}

; at

26^\circ\text{C}

, snap rate =

130\text{ snaps/min}

The question asks specifically about the

36\text{ PSU}

salinity condition.

Calculate the total change in snap rate and total change in temperature.

Change in snap rate =

130 - 50 = 80\text{ snaps/min}

; Change in temperature =

26 - 18 = 8^\circ\text{C}

Rate of change requires dividing the change in the dependent variable by the change in the independent variable.

Divide the change in snap rate by the change in temperature.

80\text{ snaps/min} / 8^\circ\text{C} = 10.0\text{ snaps/min per }^\circ\text{C}

This yields the average change per

1^\circ\text{C}

increase.

Key Concept

Calculating rate of change from tabular data

Estimated Time:1m 15s

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