A family are going away for the weekend. They look at a road map to see where their hotel is. The scale used is 1 : 250,000 The distance to their hotel measures 8.5 cm on the map. What is the actual distance?

21,250m or 21,25km.

Step-by-step explanation:

8.5cm times 250,000 = 2,125,000cm

1m = 100cm is 1cm = 0.01m

2,125,000cm = 2,125,000 times 0.01 = 21,250m

1km = 1,000m is 1m = 0.001km

21,250m = 21,250 times 0.001km = 21.25km

And you get your answer.

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.