Answer:
y = 5x - 7
Step-by-step explanation:
Using the equation of a line with two points
y_2 - y_1 / x_2 - x_1 = y - y_1 / x - x_1
Giving two points
( -4 , 10)(16 , -2)
x_1 = -4
y_1 = 10
x_2 = 16
y_2 = -2
Using the above formula
y_2 - y_1 / x_2 - x_1 = y - y_1 / x - x_1
-12 - 3 / -1 - 2 = y - 3 / x - 2
-15/-3 = y - 3 /x - 2
Cross multiply
-15(x - 2) = -3(y - 3)
-15x + 30 = -3y + 9
-15x + 30 + 3y - 9 = 0
-15x +30 - 9 + 3y = 0
-15x + 21 + 3y = 0
3y = 15x - 21 ( following y = mx + C
Dividing through by 3 to find y
3y/3 = 15x -21 / 3
y = 15x - 21 / 3
We can still separate
y = 15x / 3 - 21/3
y = 5x - 7
Therefore, the equation of the line is
y = 5x - 7
1 rose costs $4
1 carnation costs $1
And 1 tulip costs $2
Answer:
2.5 days
Step-by-step explanation:
The planned production rate was ...
(4500 dresses)/(25 days) = 180 dresses/day
The actual production rate was ...
180 dresses/day + 20 dresses/day = 200 dresses/day
So the actual time required for production of 4500 dresses was ...
(4500 dresses)/(200 dresses/day) = 22.5 days
That is the time required was less by ...
25 days -22.5 days = 2.5 days
The company finished 2.5 days early.
