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The bar graph on the right shows the average cost of room and board at four-year public and private colleges for four selected years from 2011 through 2017. The data can be modeled by $f(x)=964 x+3047$ and $g(x)=3940 e^{0.132 x}$ in which $f(x)$ and $g(x)$ represent the average cost of room and board at public four-year colleges in the school year ending $x$ years after 2010. Use these functions to complete parts (a) through (c) below.
Average Cost of Room and Board at Four-Year a. According to the linear model, what was the average cost of room and board at public four-year colleges for the school year ending in 2017?
The average cost in 2017 was $\$ 9795$. (Round to the nearest dollar as needed.) b. According to the exponential model, what was the average cost of room and board at public four-year colleges for the school year ending in 2017 ?
The average cost in 2017 was \$$\square$ (Round to the nearest dollar as needed.)