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 can help you develop equations and ordered pairs for each situation you mentioned.
1. The equation for the amount a salesperson earns can be represented as: Earnings = Flat rate + Commission. Let's say the flat rate is $500 and the commission is 10% of the sales made. The equation would be: Earnings = $500 + 0.10(Sales). Now, let's create a set of ordered pairs as an example:
- Sales = $1000, Earnings = $500 + 0.10($1000) = $500 + $100 = $600. So, the ordered pair is (1000, 600).
- Sales = $2000, Earnings = $500 + 0.10($2000) = $500 + $200 = $700. So, the ordered pair is (2000, 700).
- Sales = $3000, Earnings = $500 + 0.10($3000) = $500 + $300 = $800. So, the ordered pair is (3000, 800).
- Sales = $4000, Earnings = $500 + 0.10($4000) = $500 + $400 = $900. So, the ordered pair is (4000, 900).
- Sales = $5000, Earnings = $500 + 0.10($5000) = $500 + $500 = $1000. So, the ordered pair is (5000, 1000).
2. The equation for the volume of fuel in a snowmobile's tank related to the distance traveled can be represented as: Volume of fuel = Constant rate * Distance traveled. Suppose the constant rate of fuel consumption is 2 liters per kilometer. Let's create an example set of ordered pairs:
- Distance traveled = 10 km, Volume of fuel = 2 (liters per km) * 10 (km) = 20 liters. So, the ordered pair is (10, 20).
- Distance traveled = 20 km, Volume of fuel = 2 * 20 = 40 liters. So, the ordered pair is (20, 40).
- Distance traveled = 30 km, Volume of fuel = 2 * 30 = 60 liters. So, the ordered pair is (30, 60).
- Distance traveled = 40 km, Volume of fuel = 2 * 40 = 80 liters. So, the ordered pair is (40, 80).
- Distance traveled = 50 km, Volume of fuel = 2 * 50 = 100 liters. So, the ordered pair is (50, 100).
3. The equation for the cost of a hotel room can be represented as: Cost of room = Flat fee + Fee per adult occupant. Let's say the flat fee is $100 and the fee per adult occupant is $50. The equation would be: Cost of room = $100 + $50(Number of adults). Here's an example set of ordered pairs:
- Number of adults = 1, Cost of room = $100 + $50(1) = $100 + $50 = $150. So, the ordered pair is (1, 150).
- Number of adults = 2, Cost of room = $100 + $50(2) = $100 + $100 = $200. So, the ordered pair is (2, 200).
- Number of adults = 3, Cost of room = $100 + $50(3) = $100 + $150 = $250. So, the ordered pair is (3, 250).
- Number of adults = 4, Cost of room = $100 + $50(4) = $100 + $200 = $300. So, the ordered pair is (4, 300).
- Number of adults = 5, Cost of room = $100 + $50(5) = $100 + $250 = $350. So, the ordered pair is (5, 350).
I hope this helps! Let me know if you need further clarification or have any more questions.