Aplumber charges a $45 fee to make a house call and then $25 for each hour of labor. the plumber uses an equation in the form y = mx + b to determine the amount to charge each customer. what is the value of m in the equation?

m = $25

Step-by-step explanation:

The equation that the plumber is using 'y = mx + b' represent a linear equation.  A linear equation shows a relationship between two set of data where the change is constant.  In the case of the plumber, his rate is $25 per hour, so for every hour, he charges the same amount.  So, as each hour increases, the rate increases another $25.  In the equation y = mx + b , y = the total (dependent variable), m = rate of change, x = the number of hours (independent variable) and b = initial value.  The $45 fee is the initial value or charge regardless of the number of hours worked.  So, m = $25, which is the rate per hour.

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)

correct answer:

i^31 = -i