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