Answer:
k = ⅕
Step-by-step explanation:
The slope-intercept equation for a straight line is
y = mx + b, where
m = the slope and
b = the y-intercept
Data:
(3,4) = a point on the line
(3k,0) = x-intercept
(0,-5k) = y-intercept
Calculations:
1. Slope
m = (y₂ - y₁)/(x₂ - x₁) = (-5k - 0)/(0 - 3k) = -5/(-3) = ⁵/₃
This makes the equation
y = ⁵/₃x - 5k
2. k
Insert the value of the known point: (3,4)
4 = (⁵/₃)(3) - 5k
4 = 5 - 5k
-1 = -5k
k = ⅕
The figure below shows your graph passing through (3,4) with intercepts 3k and -5k on the x- and y-axes respectively
.
Answer:
Step-by-step explanation:
Let's use a start by using common denominators. 
and 
Now, replace the original equation with the common denominators. 
Solve! 
63/60min = 1.05k per min
(1.05k/min) * (20min) = 21k
Answer:
Hourly rate: $17.
Hourly overtime rate: $25.5.
Step-by-step explanation:
Let x represent Jim's hourly pay.
We have been given that Jim worked 40 hours last week. So amount paid in 40 hours would be 
.
We are also told that his over time pay is time-and-a-half rate that is 
.
The amount earned for working 8 overtime hours would be 
.
Since Jim's gross pay was $884, so we will equate amount earned in 40 hours and 8 hours of overtime with 884 as:
Therefore, Jim's hourly rate is $17.
Overtime rate would be 
Therefore, Jim's hourly overtime rate is $25.5.
