Incorrect 2 tries left. Please try again. HOTELS The function y=100(1.05)^x represents the cost per night at a hotel that cost 100 when the hotel opened and has been increasing by 5% every year since the hotel opened. a. Determine whether the function represents exponential growth or exponential decay. square b. Graph the function on a separate sheet of paper. c. Find and interpret the key features of the graph. The y-intercept is (0,100) so the square was 100 initial cost per night Because the time since the hotel opened square v the e revant domain is { xvert xgeqslant 0 Because the cost per night was initially 100 the relevant range is ygeqslant 100 The relevant portion of the graph is positive for xgt 0 and negative for xlt 0 As the number of years since the hotel opened increases, the cost per night square v

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$Incorrect 2 tries left. Please try again. HOTELS The function y=100(1.05)^x represents the cost per night at a hotel that cost 100 when the hotel opened and has been increasing by 5% every year since the hotel opened. a. Determine whether the function represents exponential growth or exponential decay. square b. Graph the function on a separate sheet of paper. c. Find and interpret the key features of the graph. The y-intercept is (0,100) so the square was 100 initial cost per night Because the time since the hotel opened square v the e revant domain is { xvert xgeqslant 0 Because the cost per night was initially 100 the relevant range is ygeqslant 100 The relevant portion of the graph is positive for xgt 0 and negative for xlt 0 As the number of years since the hotel opened increases, the cost per night square v$

Incorrect 2 tries left. Please try again. HOTELS The function y=100(1.05)^x represents the cost per night at a hotel that cost 100 when the hotel opened and has been increasing by 5% every year since the hotel opened. a. Determine whether the function represents exponential growth or exponential decay. square b. Graph the function on a separate sheet of paper. c. Find and interpret the key features of the graph. The y-intercept is (0,100) so the square was 100 initial cost per night Because the time since the hotel opened square v the e revant domain is { xvert xgeqslant 0 Because the cost per night was initially 100 the relevant range is ygeqslant 100 The relevant portion of the graph is positive for xgt 0 and negative for xlt 0 As the number of years since the hotel opened increases, the cost per night square v

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a. The function represents exponential growth because the base of the exponent (1.05) is greater than 1. b. Graph the function on a separate sheet of paper. c. The key features of the graph are: - The y-intercept is (0, 100), which means the initial cost per night was $100. - The relevant domain is {x | x ≥ 0} because the time since the hotel opened is non-negative. - The relevant range is {y | y ≥ 100} because the cost per night is always greater than or equal to $100. - The relevant portion of the graph is positive for x > 0 and negative for x < 0. - As the number of years since the hotel opened increases, the cost per night increases.

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