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:
Ishmael finished the most
Step-by-step explanation:
80 is 55% of what = about 145 = 65 left
216 is 25% of what = 864 = 648 left
40 is 70% of what = about 57 = 17 left
Answer:
Below in bold.
Step-by-step explanation:
Using the point-slope form of a straight line equation:
y - y1 = m(x - x1)
y - (-1)) = -2/5(x - -10)
y + 1 = -2/5(x + 10)
y + 1 = -2/5x - 4
y = -2/5x - 5.
In standard form this is:
2x + 5y = -25.
Answer:
w = 3.5
Step-by-step explanation:
w = 3.5?
Answer:
Sam earns more money than Doug in an year
Step-by-step explanation:
The complete question is -
Sam manages a clothing boutique and has an annual salary of $23600. Doug works in a shoe store and is paid 9.40/h for 40 hours each week. Who has the higher gross income each month?
Solution -
Sum of money (in dollars) earned by Doug in one week is equal to
Sum of money (in dollars) earned by Doug in one year is equal to
Hence, Sam earns more money than Doug in an year