Question

While studying how the bacteria in a pregnant rat’s gut affect the neurological development of its children, scientists came across some experimental data which could be modelled by the equation

k = 400e−1.5/T
where k is the rate of a chemical reaction and T is the temperature. In order to fit this curve to the

data, the scientists would like to graph the above equation as a linear plot.

In the region below, graph an equivalent linear plot which can be obtained from the above equation after performing appropriate transformations. Label features of your graph, including the axes, the slope of your graph, and the y-intercept. Explain your solution in the box below

Answer 1

The Graph depicts a case of an increasing linear function. In terms of economics we can say that they share a positive relationship, that is as temperature increases the rate of change is chemical reaction increases as well. Also the grapgh has been plot for the following value,

x-axis	0	0.343	0.407
y-axis	0	5	10

The graph plots the temperature on x-axis and the rate of chemical reaction on y-axis.

The value of approximately, thus accounting for, approximately, thus 1 unit change in temperature would proportionally effect the rate of chemical change by 89.25.

The slope of the line is and the y-intercept is approximately.