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

Since the price of one ticket to an art museum ($9.75) is higher than the price per ticket for science museum ($8.5), therefore the following statements about the cost at both museums would be true:

Price per ticket for admission to the art museum cost $9.75 (Option A)

Art Museum tickets cost more than that of science (Option C).

Price per ticket to a science museum:

Given the table showing the sales of admission tickets to a science museum:

Thus,

The unit rate/price per ticket sold at the science museum using a pair of values from the table, say, (128, 1088) is: y/x

Thus:

That is, a ticket to a science museum costs $8.5.

Price per ticket to an art museum:

The equation, y = 9.75x is given as the equation modelling the situation.

Thus, this means that the price per ticket to the art museum is: $9.75.

Therefore, since the price of one ticket to an art museum ($9.75) is higher than the price per ticket for science museum ($8.5), therefore the following statements about the cost at both museums would be true:

Price per ticket for admission to the art museum cost $9.75 (Option A)

Art Museum tickets cost more than that of science (Option C).

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 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 = $1088

Therefore, the cost of each ticket for science museum =

∴ It costs $8.5 (not 8.75) per ticket for admission to the science museum.

Also,The equation 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.

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this