The distance a baseball travels when a player hits the ball varies directly with the speed with which the player swings the bat.
The graph below shows the distances a baseball travels (in feet) and the speed of the swing (in miles per hour).
Based on the graph, which relationship exists between the speed of the swing and the distance the ball travels?
A. The distance is 0.1 times the swing speed.
B. The distance is 0.2 times the swing speed.
C. The distance is 5 times the swing speed.
D. The distance is 10 times the swing speed.
Based on the graph, which relationship exists between the speed of the swing and the distance the ball travels?
A. The distance is 0.1 times the swing speed.
B. The distance is 0.2 times the swing speed.
C. The distance is 5 times the swing speed.
D. The distance is 10 times the swing speed.
2 answers:
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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.