The slope of the linear model is 1.5. What does this mean in terms of the maximum noise level and the

number of people?

Noise level increase by 1.5 per unit increase in number of persons

Step-by-step explanation:

The slope, m of a linear model is the value which represents the unit change in the dependent variable due to a unit chahe in the independent dependent.

The maximum noise in decibel is the dependent variable while the number of persons is the independent variable. Hence, the Coefficient of the independent vatiabkw is the slope and gives the rate of change in the dependent variable per unit Change in the independent variable.

-13

step-by-step explanation:

f(x)=2x-5 for f(-4)

f(-4)   means let x=-4

f(-4) = 2(-4) -5

f(-4) =-8-5

      = -13

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: