Answer:
Slope and y-intercept
Step-by-step explanation:
The complete question is shown in the image attached with.
For each trip an initial fee of $ 25 is charged and $ 0.10 is charged for each vertical meter descended.
Since, for each vertical meter the charge is $ 0.10, for x meters the charges will be $ 0.10x. So,
Total charges of the trip would be:
Total charges/fee = Initial Fee + Fee for x meters
y = 25 + 0.10x
y = 0.10x + 25
The general slope intercept form of the equation of the line is:
y = mx + c
Where,
m = slope of the line
c = y-intercept
Compairing both the equations given above we, get:
Slope of line = m = 0.10
y-intercept = c = 25
So, the given statements gives us the slope and the y-intercept of the graph.
Given:
The system of equations that represent the constraints for the given situation is
To find:
The solution of given system of equations.
Solution:
We have,
...(i)
...(ii)
Multiply equation (i) by 4.
...(iii)
Subtracting (iii) from (ii), we get
Divide both sides by 12.90.
Put this value in (i).
The solution of system of equations is x=1.5 and y=2.75. It means, the yards of silk are 1.5 and yards of cotton are 2.75.
