A city planner is studying the need for affordable housing in the city's Urban Planning Department. She learned from the census of all 65,489 households in the city that the median family income is $45,000, with an average of 3.1 persons-per-household, and 79% live in a single household unit. Previously, the planner
had surveyed a group of 300 randomly selected households in the city. The surveyed households had a median family income of $39,000, an average of 3.8
persons-per-household, and 83% lived in a single household unit.

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:

answer: they are supplementary angles

step-by-step explanation: 161+19=180. supplementary angles equal 180 degrees

slope= 1

y-inter slope= 0

x       y

o     0

1       1

2     2

ect.

step-by-step explanation: