a) (100,70)
b) the point of intersection means that Auto-Loans and Rent-a-Car companies will both have a daily cost of $70 when the distance driven is 100km.
c) Auto-Loans: y = 1/2x+20
Rent-a-Car: y = 1/5x+50
d) this means that the third company would have a y-intercept of 0 (its daily cost and distance would start at 0) and it would also have a daily cost of $70 when the distance driven is 100km. this would also mean that the third company's line would have a slope of 7/10
Third company's line: y=7/10x+0
(I'm sorry if I got anything wrong, but I hope this helps!)
Step-by-step explanation:
a) the point of intersection is where the two lines meet
this is at (100, 70)
b) in the context of this problem, the point of intersection means that Auto-Loans and Rent-a-Car companies will both have a daily cost of $70 when the distance driven is 100km.
c) Auto-Loans: y = 1/2x+20
Rent-a-Car: y = 1/5x+50
*this is because the slope of a line can be found by rise/run, and the y-intercept can be found by where it is located on the y-axis, since x would be 0.)
(for example, for Auto-Loans, the slope would be rise/run which in this case would be 10/20 or 1/2. the y-intercept is 20 since the y is 20 when it is on the y-axis).
d) if a third company's line starts at (0,0) and has the same point of intersection, this means that the third company would have a y-intercept of 0 (its daily cost and distance would start at 0) and it would also have a daily cost of $70 when the distance driven is 100km. this would also mean that the third company's line would have a slope of 7/10
Third company's line: y=7/10x+0
