A student ticket to a flower show costs $6.00 plus a 5% handling fee. The local schools receive a special group discount. A scholl can determine the total cost of tickets by using the formula below.
T = Total cost
N = Nmber of tickets purchased
D = Discount rate
T = n(6+6(.05))-d(6+6(.05))
If the discount rate is 20%, what equation can be used to determine the total cost of the tickets.
If the discount rate is 20%, just substitute 0.2 for d in your equation
T = n [6+6(.05)-0.2(6+6(.05))]
Note that the n multiples all terms. I used brackets to clarify that. I think your original equation omitted an important pair of parentheses.
thanks
To determine the total cost of tickets with a discount rate of 20%, we can substitute the given values into the equation you provided:
T = n(6 + 6(0.05)) - d(6 + 6(0.05))
Let's break down the equation step by step:
1. Start with the given equation:
T = n(6 + 6(0.05)) - d(6 + 6(0.05))
2. Substitute the values:
- The cost per ticket is $6.00, so substitute 6 for n:
T = 6(6 + 6(0.05)) - d(6 + 6(0.05))
- The handling fee is 5%, so substitute 0.05 for 0.05 in both occurrences:
T = 6(6 + 6(0.05)) - d(6 + 6(0.05))
- The discount rate is 20%, so substitute 0.20 for d:
T = 6(6 + 6(0.05)) - 0.20(6 + 6(0.05))
3. Simplify:
T = 6(6 + 0.30) - 0.20(6 + 0.30)
T = 6(6.30) - 0.20(6.30)
T = 37.80 - 1.26
T = 36.54
Therefore, the equation to determine the total cost of tickets with a 20% discount rate is:
T = 36.54