The table below shows the total cost for purchasing a certain number of equally-priced concert tickets. Total cost (in dollars) Number of concert tickets. the total costs in dollars are 110 275 440. the number in concert tickets are 2, 5, 8 Write an equation to describe the relationship between the total cost in dollars (c), and the number of tickets purchased (t),

Answer: c = 55tStep-by-step explanation:Since there are no handling fees and the price of tickets is constant, we know the cost will be proportional to the number of tickets purchased. The generic form of an equation expressing a proportional relationship between cost (c) and number of tickets (t) is ... c = ktwhere k is the constant of proportionality (the cost per ticket). We can find k by using any of the data points given in the table. Using the first point, we have ... 110 = k·2 110/2 = k = 55 . . . . . divide by 2Then using this value for k, the desired equation can be written ... c = 55t