In 1940 the life expectancy at birth in the general public was 62.9 years. by 1980, it had risen to 73.7 years. assuming a linear relation, which is the best prediction of life expectancy in the year 2000?

the correct answer is the second option

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.