Question

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°celsius of the earths temperature. every additional 1°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°celsius. every additional 0.03 meter below the earths surface corresponds to an increase of 10°celsius of the earths temperature. every additional 1 meter below the earths surface corresponds to an increase of 0.03°celsius of the earths temperature. clear my selection 9 multiple choice 2 points from 1900 to 1912, the olympic mens winning pole vault height was h(t)=2t + 130 inches, where t is years since 1900. what are the units on the \2\ in the formula? inches inches per year years years per inch clear my selection

Explanation:

Step1: Analyze the linear - function relationship

For a linear function of the form $y = mx + b$, the coefficient $m$ represents the rate of change. In the context of the Earth's temperature - depth relationship, if we assume a linear relationship between temperature $T$ and depth $d$ (not given explicitly in the problem but inferred from the statements), the rate of change of temperature with respect to depth is what we need to find.

Step2: Analyze the pole - vault height function

For the function $H(t)=2t + 130$, where $H(t)$ is the height in inches and $t$ is the number of years since 1900. The coefficient of $t$ in a linear function $y = mx + b$ has units such that when multiplied by the units of $t$, it gives the units of $y$.
Since $y = H(t)$ has units of inches and $t$ has units of years, the units of the coefficient of $t$ (which is 2) must be inches per year.

Answer:

For the first question: Every additional 1 meter below the Earth's surface corresponds to an increase of 0.03°Celsius of the Earth's temperature.
For the second question: inches per year