Question

deb, a biologist, recorded the temperature at plymouth lagoon over several days. the temperature changed gradually during this time. this situation can be modeled as a linear relationship. complete the statement that describes the situation. the pond was when deb first recorded its temperature. the temperature of the pond

Explanation:

Step1: Find the initial temperature

The \(y\) - intercept of a linear relationship \(y = mx + b\) (where \(x\) is the number of days after the first recording and \(y\) is the temperature) gives the value of \(y\) when \(x = 0\). In the graph, when \(x=0\) (first recording), \(y = 64\). So the initial temperature is \(64^{\circ}F\).

Step2: Determine the trend of the temperature

The slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let's take two points \((0,64)\) and \((10,69)\). Then \(m=\frac{69 - 64}{10-0}=\frac{5}{10}=0.5>0\). A positive slope means the temperature is increasing.

Answer:

The pond was \(64^{\circ}F\) when Deb first recorded its temperature. The temperature of the pond is increasing.