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Can y’all please help with part an and part b? I need justification on how you got the answer pleaseee

Can y’all please help with part an and part b? I need justification on how you got-example-1
User Ingenious
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1 Answer

6 votes

Answer:

Part A
Option C

Part B
Option A

Explanation:

Part A

The equation for revenue gained for x tickets sold by Alpacas team

is y = 7.5x

This indicates the slope is 7.5 which means for every ticket sold the revenue increases by $7.50

Or in other words, cost of each ticket = $7.50

The revenue - ticket relationship for the Stingrays is given in the form of a graph with a linear equation

The slope of the graph can be found by rise/run where rise

= difference in y values for 2 points on the graph and run

= difference in the corresponding x values

Let's take points (0, 0) and (100, 1500) to find the slope
rise = (1500 - 0)/(10-0) = 1500/10 = 150

run = 10 - 0 = 10

Slope = 150/10 = 15

Equation is y = 15x

So for every ticket sold, the revenue increases by $15

Or in other words, cost of each ticket = $15

Therefore each Stingrays ticket costs 15/7.5 = 2 times each Alpacas ticket

Correct Answer:
Option C

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Part B

For the Geckos swim team we can see that as the number of tickets increases from 6 to 18(difference of 18- 6 = 12), the revenue increases by 180 - 60 = $120

Cost for ticket between 6 and 18 tickets = $120/12 = $10

When tickets sold increases from 18 to 54 (difference of 54 - 18= 36), the revenue increases by $540 - $180 = $360

Therefore the price for each ticket within this range = $360/36 = $10

So the price per ticket is the same regardless of the number of tickets sold

Therefore Gecko's revenue can be modeled as y = 10x

Alpacas charge $7.50 per ticket and Gecko's charge $10 per ticket
So the difference between a Gecko's ticket and an Alpacas ticket

= $10 - $7.50

= $2.50 more than Alpacas

or, alternatively

Alpacas charge $2.50 less than Gecko per ticket

Correct Answer

Option A

User Anze
by
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