MATH SOLVE

10 months ago

Q:
# the table shows the sales of admission tickets to a science museum. A table labeled Science Museum Admission Revenue. It contains a row for Tickets Sold with the amounts 128, 264, 308, 514, 520, 650, 722, and a row for Sales with the amounts 1088, 2244, 2618, 4369, 5525, and 6137. The equation y = 9.75x represents the number of dollars, y, earned by an art museum for selling x tickets. Which statements about the costs of the admission tickets at the museums are true? Select each correct answer. It costs $9.75 per ticket for admission to the art museum. It costs $8.75 per ticket for admission to the science museum. Art museum tickets are more expensive than science museum tickets. Given the same number of ticket sales, the science museum earns more revenue. 1 2 3 4 5

Accepted Solution

A:

Answer: It costs $9.75 per ticket for admission to the art museum. Art museum tickets are more expensive than science museum tickets.Step-by-step explanation:From the given table of Science Museum Admission Revenue, we can see that the sales amount by selling 128 tickets = $1088Therefore, the cost of each ticket for science museum =[tex]\frac{1088}{128}=\$8.5[/tex]∴ It costs $8.5 (not 8.75) per ticket for admission to the science museum. Also,The equation [tex]y = 9.75x[/tex] represents the number of dollars, y, earned by an art museum for selling x tickets. At x=1, y=9.75∴ It costs $9.75 per ticket for admission to the art museum. Clearly, 9.75>8.5∴ Art museum tickets are more expensive than science museum tickets.If the number of ticket sales will be same then art museum will earn more revenue.