Answer:
5 hours
Step-by-step explanation:
Step one:'
given data
Angelo charges a one time fee of $50 plus $15 per hour
let the total charge be y
and the number of hours be x
y= 50+15x----------------1
Deborah charges a one time fee of $25 plus $20 per hour
y= 25+20x----------------2
equate 1 and 2 to find x
50+15x=25+20x
collect like terms
50-25= 20x-15x
25= 5x
divide both sides by 5
x= 25/5
x= 5 hours
Answer:
Step-by-step explanation:
First of all, I drawed this graph and uploaded it for you...
We know that a line equation is y = ax + b and I want to know which equation goes through the points (-1, -5) and (1, -1).
Let's put these points in the algebreac expression of line to find the correct equation:
-5 = a. (-1) + b
-1 = a.(1) + b
solving this system of equation by elimination, we find 2b = -6 and b = -3.
Then, -5 = -a + (-3)
-a = -5 + 3
a = 2
Finally, our line equation is y = 2x - 3
The slope also is represented by a. So, the slope is 2.