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.
I don't understand .Please someone kindly help me?
Thank you
Sure, I can help explain these scenarios for you and provide equations and ordered pairs for each one.
1. Scenario: The amount a salesperson earns is a flat rate plus commission.
In this scenario, we can represent the amount earned (E) as a function of the commission rate (C) and the number of items sold (S). The equation would be:
E = flat rate + (commission rate * number of items sold)
For example, let's say the flat rate is $500 and the commission rate is $10 per item sold. We can create a set of 5 ordered pairs to represent different scenarios as follows:
- (0 items sold, $500 + ($10 * 0) = $500)
- (5 items sold, $500 + ($10 * 5) = $550)
- (10 items sold, $500 + ($10 * 10) = $600)
- (15 items sold, $500 + ($10 * 15) = $650)
- (20 items sold, $500 + ($10 * 20) = $700)
2. Scenario: The volume of fuel in a snowmobile's tank related to the distance traveled.
In this scenario, the volume of fuel (V) in the snowmobile's tank is related to the distance traveled (D). We can represent this relationship using an equation.
V = flat rate + (rate per unit distance * distance traveled)
For example, let's say the flat rate is 5 gallons and the rate per unit distance is 0.2 gallons per mile. We can create a set of 5 ordered pairs:
- (0 miles traveled, 5 + (0.2 * 0) = 5 gallons)
- (10 miles traveled, 5 + (0.2 * 10) = 7 gallons)
- (20 miles traveled, 5 + (0.2 * 20) = 9 gallons)
- (30 miles traveled, 5 + (0.2 * 30) = 11 gallons)
- (40 miles traveled, 5 + (0.2 * 40) = 13 gallons)
3. Scenario: The cost of a hotel room is a flat fee plus a fee per adult occupant.
In this scenario, the cost of a hotel room (C) is a sum of the flat fee (F) and the fee per adult occupant (A). We can represent this relationship using an equation.
C = flat fee + (fee per adult * number of adults)
For example, let's say the flat fee is $100 and the fee per adult is $50. We can create a set of 5 ordered pairs:
- (0 adults, $100 + ($50 * 0) = $100)
- (1 adult, $100 + ($50 * 1) = $150)
- (2 adults, $100 + ($50 * 2) = $200)
- (3 adults, $100 + ($50 * 3) = $250)
- (4 adults, $100 + ($50 * 4) = $300)
I hope this helps! Let me know if you have any further questions.