For the following scenario, develop an equation and a set of 5 ordered pairs for equation:
1. the amount a sales person earns is a flat rate plus commission.
2. the volume of fuel in a snowmobiles tank related the distance travelled.
3. the cost of a hotel room is a flat fee plus a fee per adult occupant.
Please someone kindly help me?
Thank you
Sure, I'd be happy to help you with this. Let's break down each scenario and develop an equation and a set of ordered pairs for each one.
1. Scenario: The amount a salesperson earns is a flat rate plus commission.
Let's say the flat rate is $500 and the commission is 5% of the total sales. We can represent the amount earned (E) as a function of the total sales (S) using the equation:
E = 500 + 0.05S
Here's a set of 5 ordered pairs for this equation:
(1000, 550) - If the total sales are $1000, the salesperson would earn $550.
(2000, 600) - If the total sales are $2000, the salesperson would earn $600.
(3000, 650) - If the total sales are $3000, the salesperson would earn $650.
(4000, 700) - If the total sales are $4000, the salesperson would earn $700.
(5000, 750) - If the total sales are $5000, the salesperson would earn $750.
2. Scenario: The volume of fuel in a snowmobile's tank related to the distance traveled.
Let's assume that the snowmobile travels 20 miles per gallon (mpg). We can represent the volume of fuel (V) as a function of the distance traveled (D) using the equation:
V = D / 20
Here's a set of 5 ordered pairs for this equation:
(50, 2.5) - If the distance traveled is 50 miles, the volume of fuel required would be 2.5 gallons.
(100, 5) - If the distance traveled is 100 miles, the volume of fuel required would be 5 gallons.
(150, 7.5) - If the distance traveled is 150 miles, the volume of fuel required would be 7.5 gallons.
(200, 10) - If the distance traveled is 200 miles, the volume of fuel required would be 10 gallons.
(250, 12.5) - If the distance traveled is 250 miles, the volume of fuel required would be 12.5 gallons.
3. Scenario: The cost of a hotel room is a flat fee plus a fee per adult occupant.
Let's assume the flat fee is $100 and the fee per adult occupant is $50. We can represent the cost of a hotel room (C) as a function of the number of adult occupants (A) using the equation:
C = 100 + 50A
Here's a set of 5 ordered pairs for this equation:
(1, 150) - If there is 1 adult occupant, the cost of the hotel room would be $150.
(2, 200) - If there are 2 adult occupants, the cost of the hotel room would be $200.
(3, 250) - If there are 3 adult occupants, the cost of the hotel room would be $250.
(4, 300) - If there are 4 adult occupants, the cost of the hotel room would be $300.
(5, 350) - If there are 5 adult occupants, the cost of the hotel room would be $350.
I hope this helps! Let me know if you have any further questions.