In a football game, running back is at the 10 yard line and running up the field towards the 50 yard line, and runs for 3 seconds at 8 yd/s. what is his current position (in yards)?

His current position is in 34 yards line.

Step-by-step explanation:

Since we have given that

Distance covered by him initially = 10 yards

After that,

Time taken by him = 3 seconds

Speed = 8 yard/second

So, Distance becomes

So, his current position would be

Hence, his current position is in 34 yards line.

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.