The amount of coffee consumed annually in Country X increases by 8 percent each year. If 970 thousand metric tons of coffee were consumed in Country X in 2000, which of the following functions c can be used to model the amount of coffee, in thousands of metric tons, consumed annually in Country X, where t is the number of years since 2000?

This linear function adds a constant amount to the initial coffee consumption each year, which does not represent the 8 percent annual growth. Instead, it suggests a fixed increase, which misrepresents the nature of exponential growth in this scenario.

This expression incorrectly implies that the growth rate is dependent on t itself being multiplied by 1.08, which is not appropriate for modeling exponential growth. The correct model should raise the growth factor to the power of t, not multiply it by t.

This function incorrectly raises the initial consumption to the power of 1.08 and then multiplies by t, which does not correctly model the annual growth. It does not conform to the principles of exponential growth and instead suggests a non-standard rate of increase.

This function implies that the coffee consumption depends on t raised to the power of 1.08, which suggests a different kind of growth model entirely. This does not reflect the annual percentage increase of 8 percent and misrepresents the relationship over time.