For the Rule of 78, for a 12-month period, the last term in the sequence is 12 and the series sums to 78. For an 10 month period
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2. c = 47,000 × n, where c is the cost of n number of bears.
3. a) The cost to ride 5 rides = $20.50, the cost to ride 8 rides = $28.00
The equation for the pattern, C(x) = 15.50 + 2.50 (r - 3), where C is the cost and r is the number of rides.
b) The cost to ride 12 rides = $36.00.
Step-by-step explanation:
Step 1; To find the cost of one bear, we divide the cost of bears by the number.
If 4 bears cost $188,000, 1 bear costs = = $47,000.
If 7 bears cost $329,000, 1 bear costs = = $47,000.
So the equation is c = 47,000 × n, where c is the cost to buy n bears.
Step 2; For every additional ride, the price increases by $2.50. So the equation for the pattern is C(x) = 13.50 + 2.50 (x - 3).
When the number of rides is 5, C(5) = 15.50 + 2.50 (5-3) = 15.50 + 2.50 (2) = 15.50 + 5.0 = $20.50.
When the number of rides is 8, C(8) = 15.50 + 2.50 (8-3) = 15.50 + 2.50 (5) = 15.50 + 12.50 = $28.00.
When the number of rides is 12, C(12) = 15.50 + 2.50 (12-3) = 15.50 + 2.50 (9) = 13.50 + 22.5 = $36.00.