Word problems using linear systems

Question

The Clarke’s son suggests that they rent a car that costs $250 for the week plus $0.20/km. Their daughter does not want to drive far, so she suggests a car that is only $96 for the week but $0.50/km.

a) When will the two cars costs the same?

b) If the Clarke’s plan to drive 500km, which option is less expensive?

Answer 1

y = .20x + 250

y = .50x + 96

Let y = y (the cost)

.20x + 250 = .50x + 96

154 = .30x

x = 513.333333333 mikes is breakeven point