Question

what is the slope of the linear model? round your answer to two decimal places. multiple choice 2 points the average temperature of the earth, measured in degrees celsius, can be modeled by the equation t(d)=0.03d + 10 degrees celsius where d is the depth below the earths surface, measured in meters. which of the following statements is true about this model? every additional 1 meter below the earths surface corresponds to an increase of 10 degrees celsius of the earths temperature. every additional 1 degree celsius in temperature corresponds to an increase of 0.03 meters in depth. when the depth below the earth is 10 meters, the temperature has increased by 0.03 degrees celsius. every additional 0.03 meter below the earths surface corresponds to an increase of 10 degrees celsius of the earths temperature. every additional 1 meter below the earths surface corresponds to an increase of 0.03 degrees celsius of the earths temperature. clear my selection

Explanation:

Step1: Recall slope - intercept form

The linear equation is in the form $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. In the given equation $T(d)=0.03d + 10$, comparing it with $y = mx + b$, $d$ is the independent variable (like $x$) and $T(d)$ is the dependent variable (like $y$).

Step2: Identify the slope

The coefficient of $d$ is the slope. Here, the coefficient of $d$ is $0.03$.

Answer:

$0.03$