Answer:
The equation of line is:
Step-by-step explanation:
Given points:
and
To find the equation of the line.
Solution:
In order to find the equation of the line we will first find the slope of the line.
The slope of a line passing through points and the slope can be given as:
Plugging in the given points to find the slope of the line.
Equation of line can be written in point slope form as:
where is a point on the line.
Using point (4,8)
Multiplying both sides by 4.
Using distribution:
Subtracting both sides.
Subtracting 308 both sides.
Multiplying each term with -1.
Thus, equation of line is:
Answer:
$17.5
Step-by-step explanation:
The operator, for a round-trip fare of $20, carries an average of 500 people per day.
It is estimated that 20 fewer people will take the trip, for each $1 increase in fare.
Therefore, for $x dollars increase in fare, 20x less people will take the trip and at that time the total fare F is given by
F(x) =(20 + x)(500 - 20x) = 10000 + 100x - 20x²
For F(x) to be maximum, the condition is
Hence, 100 - 40x = 0
⇒ x = 2.5
Therefore, the fare of $(20 - 2.5) = $17.5 will maximize the total fare. (Answer)
Step-by-step explanation:
Let x be the money made in sales. Let y be the money made in commissions.
First, convert 2.5% to a decimal.
2.5% = 0.025
Equation:
0.025x = y
Robert:
0.025(8850) = y
y = $221.25
Francisca:
0.025x = 279
x = 279/0.025
x = $11,160
Answer:
m = -4
Step-by-step explanation:
m - 4 = 2m
Switch sides.
2m = m - 4
Subtract m from both sides.
m = -4
Answer: X = Exact Form: 3/2
Decimal Form: 1.5
Mixed Number Form: 1 1/2