Tommy plans to attend the Clinton County Fair and is trying to decide what would be a better deal. He can pay $36 for unlimited rides, or he can pay $14 for admission plus $2 per ride. If Tommy goes on a certain number of rides, the two options wind up costing him the same amount. What is that cost? How many rides is that?

Let, n is the number of rides at which he pays same in both the deal.

Deal 1 :

Amount paid, A = $36 .

Deal 2 :

Amount paid, A = 14 + 2n

Equating both the equation, we get :

14 + 2n = 36

2n = 22

n = 11

Therefore, at a cost of $36 and at 11 rides both the deals are same.

Hence, this is the required solution.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.