In a city of 30,000 homes, a survey was taken to determine the number with cable television. Of the 300 homes surveyed, 171 had cable television.
A) Estimate the number of homes in the city that have cable television.

The estimate for the number of homes in the city that have cable television is 17,100.

Step-by-step explanation:

To estimate for the entire city, we can take our estimative from the sample(if it is large enough), and apply to the entire city.

Sample

Of 300, 171 had cable television

Percentage: 171/300 = 0.57.

For the entire city

57% of 30,000. So

0.57*30000 = 17100

The estimate for the number of homes in the city that have cable television is 17,100.

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.