A state fair charges $6 for general admission and $2.50 for each ride. Use the pattern in the table to find the cost of 7 rides and 10 rides. Then write an equation for the pattern. Find the cost c for 14 rides.
To find the cost of 7 and 10 rides, we can use the pattern by observing the table.
Number of Rides | Cost
----------------|------
1 | $6.00 + (1 × $2.50)
2 | $6.00 + (2 × $2.50)
3 | $6.00 + (3 × $2.50)
4 | $6.00 + (4 × $2.50)
5 | $6.00 + (5 × $2.50)
6 | $6.00 + (6 × $2.50)
From the table, we can see that the cost of each ride is $2.50. Therefore, to find the cost of 7 rides, we simply multiply the number of rides (7) by the cost per ride ($2.50):
Cost of 7 rides = 7 × $2.50 = $17.50
Similarly, to find the cost of 10 rides:
Cost of 10 rides = 10 × $2.50 = $25.00
Now let's write an equation for the pattern. Let 'n' represent the number of rides and 'c' represent the cost of those rides. From the pattern in the table, we can see that the general admission price of $6 is added to the cost of each ride:
c = $6.00 + (n × $2.50)
Substituting 'n' with 14 to find the cost of 14 rides:
c = $6.00 + (14 × $2.50)
c = $6.00 + $35.00
c = $41.00
Therefore, the cost of 14 rides would be $41.00.