Question

A rare species of insect was discovered in the rainforest. In order to protect the species, environmentalists declare the insect endangered and transplant the insects into a protected area. The population of the insect t months after being transplanted is given by

P(t)=
60(1+0.4t)/0.01t+3
​
How do you graph this equation?

a) The graph is a straight line.

b) The graph is a parabola.

c) The graph is a hyperbola.

d) The graph is an exponential curve.

Answer 1

To graph the equation P(t) = 60(1+0.4t)/0.01t+3, evaluate the equation for different values of t to find the corresponding values of P(t). Plot these points on a coordinate grid and connect them to create a smooth curve.

Step-by-step explanation:

To graph the equation P(t) = 60(1+0.4t)/0.01t+3, you can start by evaluating the equation for different values of t to find the corresponding values of P(t). Once you have a few points, you can plot them on a coordinate grid and connect them to create a smooth curve.

For example, when t = 0, the equation becomes P(0) = 60(1+0.4(0))/0.01(0)+3 = 60(1)/0+3 = 60/3 = 20. So one point on the graph is (0, 20).

Repeat this process for a few more values of t (e.g. t = 1, t = 2, t = 3) to obtain more points. Once you have enough points, connect them with a smooth curve to graph the equation.