Problema Solution
The green canoe company charges $20 plus $10 per day to rent a canoe. The blue canoe company charges $30 plus $8 per day. Show how each company's total charge varies with the number of days a canoe is rented. Show the equations, table, and graph it
Answer provided by our tutors
let x = the number of days to rent
For x days the green canoe company charges: 20 + 10x
For x days the blue canoe company charges: 30 + 8x
lets graph the 2 equations:
y = 20 + 10x
y = 30 + 8x
click here to see the graph
lets find the intersection of the lines by solving the system of equations
y = 20 + 10x
y = 30 + 8x
we find
x = 5
y = 70
click here to see the step by step solution of the system of equations
Now we can conclude:
For 5 days renting the blue canoe company and the green canoe company charge the same since 20 + 10x = 30 +8x.
For less then 5 days the green canoe company is charging less then the blue canoe company since 20 + 10x < 30 + 8x.
For more then 5 days the blue canoe company is charging less then the green canoe company since 20 + 10x > 30 + 8x.