The local museum had 2 visitors in 1990 . the number of visitors has decreased by 3% each year since 1990 . enter a function m(x) to represent the number of visitors to the museum x years after 1990

Step-by-step explanation:

We have been that the local museum had 20000 visitors in 1990 . The number of visitors has decreased by 3% each year since 1990.

We will use exponential function to write formula for the given problem as number of visitors decrease exponentially.

We know that an exponential function is in form , where,

a = Initial value,

b = For decay b is in form (1-r), where r represents rate in decimal form.

Let us convert our given rate in decimal form.

Upon substituting our given values in above formula we will get,

Therefore, the function represents the number of visitors to the museum x years after 1990.

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.