The Robot Factory is a learning center where children can build robots. The project fee per visit is $18, and each hour of time (x) at the factory costs $6. Jesse goes to the Robot Factory one afternoon, and the total charge for his visit is $33. Write and solve and equation to find the number of hours Jesse spent at the Robot Factory.

equation=33=6x+18

Step-by-step explanation:

33=6x+18

-18       -18

15/6=6x/6

15/6=x

2.5 hours at the robot factory

the answer is 510

step-by-step explanation:

15 • 13 = 195

15 • 12 = 180

15 • 5 = 75

12 • 5 = 60

195 + 180 = 375

375 + 75 = 450

450 + 60 = 510

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.