P=130t+17800 gives the total population, P, of a small city t years after 1951. Use the equation to determine when (what year) the population reached a population of 19880 people. The population reached a total of 19880 people in what year?

The population reached a total of 19880 people in 1967.

Step-by-step explanation:

The population in t years after 1951 is given by:

Which year the population reached a population of 19880 people.

This is t years after 1951

t is found when

So

1951 + 16 = 1967

The population reached a total of 19880 people in 1967.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

what is the graph

step-by-step explanation: