John is a furniture maker. the graph shows the number of chairs john makes and the time it takes to make that many chairs. how many hours will it take for john to make 30 chairs? a. between 1 and 2 hours b. between 2 and 3 hours c. between 3 and 4 hours d. between 4 and 5 hours

the answer would be B since to make 32 chairs it would take 3 hours and 30 is less than 32

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.