Lainey is sliding down a water slide that is 484 feet long at a rate of 44 feet per second. How long will it take Lainey to travel from the top to the bottom of the slide?

11 seconds.

Step-by-step explanation:

Given:

Lainey is sliding down a water slide that is 484 feet long at a rate of 44 feet per second.

Question asked:

How long will it take Lainey to travel from the top to the bottom of the slide?

Solution:

Lainey is sliding down a water slide that is 484 feet long, we will assume it as distance traveled.

Lainey is sliding down a water slide at a rate of  44 feet per second, we will assume it as speed.

As here asking the time taken to travel from top to bottom, we will find it by using:-

Therefore, it will take  Lainey 11 seconds to travel from the top to the bottom of the slide.

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.