Answer:
y = (1/4)x - 3
Step-by-step explanation:
The slope-intercept form is y = mx + b. Here we are told that the line passes through (-8, -5) and that its slope is 1/4 (is that correct?).
Substituting -5 for y, -8 for x and 1/4 for m, we get an equation for the y-intercept, b:
-5 = (1/4)(-8) + b, or
-5 = -2 + b, so b = -3, and the desired equation is
y = (1/4)x - 3
Answer:
72
Step-by-step explanation:
36 x 2 = 72
To check your answer:
72 / 2 = 36
Answer: 16 double rooms and 10 single rooms were rented.
Step-by-step explanation:
Let x represent the number of double rooms that were rented.
Let y represent the number of single rooms that were rented.
The total number of rooms rented in a day is 26. It means that
x + y = 26
A motel rents double rooms at $34 per day and single rooms at $26 per day. If all the rooms that were rented for one day cost a total of $804, it means that
34x + 26y = 804 - - - - - - - - - - -1
Substituting x = 26 - y into equation 1, it becomes
34(26 - y) + 26y = 804
884 - 34y + 26y = 804
- 34y + 26y = 804 - 884
- 8y = - 80
y = - 80/ - 8 = 10
x = 26 - y = 26 - 10
x = 16
Answer: a) c(x) = 0.124x + 1.1, b) 13 units
Step-by-step explanation: Revenue function = R(x) = 0.21x
Profit function = p(x) = 0.086 - 1.1
Cost function = c(x) =?
A)
Recall that profit = total revenue - total cost
Hence, total cost = total revenue - profit
c(x) = 0.21x - (0.086x - 1.1)
c(x) = 0.21x - 0.086x + 1.1
c(x) = 0.124x + 1.1
B)
Break even point is the point where total revenue equals total cost
R(x) = c(x)
0.21x = 0.124x + 1.1
0.21x - 0.124x = 1.1
0.086x = 1.1
x = 1.1/0.086
x = 12.79 which is approximately 13 units
Answer:
1. 0.0692156863
2. 0.5761904762
3. 0.3969565217
4. 2.030769231
Step-by-step explanation: