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Otrada
18 days ago
14

the table shows the sales of admission tickets to a science museum. A table labeled Science Museum Admission Revenue. It contain

s 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
Mathematics
2 answers:
Leona [9.3K]18 days ago
5 0

Result: Admission to the art museum is priced at $9.75 per ticket.

Art museum tickets cost more compared to those at the science museum.

Detailed explanation:

According to the Science Museum Admission Revenue table, selling 128 tickets results in a total of $1088.

Accordingly, the cost per ticket for the science museum is =\frac{1088}{128}=\$8.5.

∴ Each ticket to the science museum costs $8.5 (not $8.75).

The formula y = 9.75x calculates the cost in dollars, y, received by the art museum for x tickets sold.

By setting x=1, we find y=9.75.

∴ The ticket price for the art museum is $9.75.

It’s clear that 9.75>8.5

∴ Tickets to the art museum are costlier than those to the science museum.

Assuming the same number of tickets are sold, the art museum would generate higher revenue.

zzz [9.1K]18 days ago
3 0
<span>The admission price for the art museum is $9.75 per ticket.

</span><span>Compared to science museum tickets, art museum tickets are pricier.
</span>
This was verified through my testing.

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