Answer:
The theater has 32 rows
Step-by-step explanation:
The rule of the sum of n terms of an arithmetic sequence is S = (a + l), where
- n is the number of the terms
∵ The number of seats per row follows an arithmetic sequence
∵ The first row has 26 seats
∴ a = 26
∵ The last row has 150 seats
∴ l = 150
∵ The theater seats are 2,816
∴ S = 2,816
→ Substitute these values in the rule of the sum above to find n
∵ 2,816 = (26 + 150)
∴ 2,816 = (176)
∴ 2,816 = 88n
→ Divide both sides by 88
∴ 32 = n
∵ n represents the number of the rows
∴ The theater has 32 rows
Answer:
Step-by-step explanation:
Forecast for period 1 is 5
Demand For Period 1 is 7
Demand for Period 2 is 9
Forecast can be given by
where
Forecast for Period 3
Answer:
-2.25
Step-by-step explanation:
9(1-x) = 27Y
9-9x =27y
-9x -27y = -9 multiply all terms by -1
9x +27y =9 equation (1)
x-y= -11/2 equation (2)
by solving 2 equations
x= -3.875
y= 1.625
∴ x+ y = 1.625 +(-3.875) = -2.25
y = 7 + 3x
y = 3x + 7
y = mx + b, therefore the y-intercept is 7.
3y = 6x + 12
y = 2x + 4
y = mx + b, therefore the y-intercept is 4.