The initial fee of $50 is essentially the y intercept because this is the value when x = 0 (x is the number of labor-hours). So b = 50.
The slope is m = 30 because each increase of 1 hour leads to the cost bumping up by 30 dollars. In other words, slope = rise/run = (change in cost)/(change in hours) = 30/1
So we plug m = 30 and b = 50 into the y = mx+b formula to get y = 30x+50
Replace y with f(x) to get f(x) = 30x+50
The linear function for the cost is f(x) = 30x+50
Note: Some books may use other letters (instead of x and f(x)), but the idea is still the same
Once you know the cost function, you replace x with 4.5 to find the amount it will cost to have a painter work for 4.5 hours.
f(x) = 30x+50
f(4.5) = 30*4.5+50
f(4.5) = 135+50
f(4.5) = 185
It will cost 185 dollars to have the painter work for 4.5 hours
Answer: y = 18/32
Step-by-step explanation: Okay the equation is xy = k
You plug in x and y.
(3)(6) = k
18 = k
To get the value of y when x = 32 you plug in 32.
Use this equation now y = k/x
Now it is y = 18/32
And that is your answer!
<span>4000 so the answer is C
Hope this helps</span>
Answer:
There are 8 males in the class and 42 females.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the number of females.
y is the number of males.
Class of 50 students
This means that 
The number of females is 2 more than 5 times the number of males.
This means that 
So, finding y, the number of males:





Females:

There are 8 males in the class and 42 females.
Answer:
Tracy's explanation would be the simplest because 1\6 is half of one third she eliminated the need for an extra step if left the other way