Answer:
Function:
c = f(w) = 0.49, 0 < w ≤ 1
= 0.70, 1 < w ≤ 2
= 0.91, 2 < w ≤ 3
Step-by-step explanation:
Yes, the relation described can be interpreted as a function.
Here, c is the cost of a mail letter. c depends upon w, which is the weights of the mail letter.
As described in the question, the relation can be expressed as a function.
c can be expressed as a function of w in the following manner:
c(cost of mail) = f(w), where w is the independent variable and c is the dependent variable
c = f(w) = 0.49, 0 < w ≤ 1
= 0.70, 1 < w ≤ 2
= 0.91, 2 < w ≤ 3
where, c is in dollars and w is in ounces.
Slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept.
For the equation y = 5x - 6, m = 5, meaning that the slope of the line is 5.
Answer:
x=6
b= 126
Step-by-step explanation:
8x+78 = 2x+114
8x-2x = 114-78
6x=36
x=6
--------
b=2x6+114
b= 126
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.