Solve.Tickets to a ballet cost $15 if bought in advance. If bought on the day of the ballet, they cost $25. The total amount made on ticket sales was $400. For the questions below, round all amounts to the nearest whole number.(i) Express this information as a linear equation, using x for the number of tickets bought in advance and y for the number of tickets bought on the day of the ballet. (ii) Graph the equation on the coordinate plane.
(iii) Identify the intercepts. Explain the significance of the x- and y-intercepts in this situation.(iv) Use the graph to find the number of tickets bought in advance when 10 tickets were bought on the day of the
ballet.
What will be an ideal response?
(i) 15x + 25y = 400
(ii)
(iii) The x-intercept is about (27, 0) and the y-intercept is about (0, 16). The x-intercept represents the number of tickets bought in advance if no tickets were bought on the day of the ballet. The y-intercept represents the number of tickets bought on the day of the ballet if no tickets were bought in advance.
(iv) 10 tickets were bought in advance when 10 tickets were bought on the day of the ballet.
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