1. a scuba diver is 3.8 meters below the surface of the water. he is descending at a rate of 0.5 meters per minute. write an algebraic expression to describe the depth of the scuba diver after any number of minutes. 2. describe what the variable represents in this situation

For this case we have the following data:

In this way, the depth of the diver for a certain number of minutes is given by:

, where x represents the number of minutes

Question 1:

Question 2: x represents the number of minutes

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.