Climate change Recent studies indicate that the average surface temperature of the earth has been rising steadily. Some scientists have modeled the temperature by the linear function $T=0.02 t+8.50,$ where $T$ is temperature in $^{\circ} \mathrm{C}$ and $t$ represents years since $1900 .$ (a) What do the slope and $T$ -intercept represent? (b) Use the equation to predict the average global surface temperature in 2100 .
Added by Hector H.
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02 t+8.50$ represents the rate of change of temperature with respect to time. Specifically, it tells us that the temperature is increasing by $0.02$ degrees Celsius per year. The $T$-intercept of the function represents the temperature in the year 1900, which is Show more…
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Recent studies indicate that the average surface temperature of the earth has been rising steadily. Some scientists have modeled the temperature by the linear function $T=0.02 t+8.50 .$ where $T$ is temperature in $^{-} \mathrm{C}$ and $t$ represents years since $1900 .$ (a) What do the slope and $T$ -intercept represent? (b) Use the equation to predict the average global surface temperature in 2100.
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Mathematical Models. A Catalog of Essential Functions
Recent studies indicate that the average surface temperature of the earth has been rising steadily. Some scientists have modeled the temperature by the linear function $T=0.02 t+8.50$, where $T$ is temperature in ${ }^{\circ} \mathrm{C}$ and $t$ represents years since 1900 . (a) What do the slope and $T$ -intercept represent? (b) Use the equation to predict the earth's average surface temperature in 2100 .
Mathematical Models: A Catalog of Essential Functions
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