Question

Sarah is renting a cabin for vacation and has two choices. Cabin Arents for $100 per day and has a

$50 insurance fee. Cabin B rents for $120 per day and has a $10 insurance fee. Which system of
equations below will determine when the two choices will have the same cost?

Answer 1

x = 2 days

y = 250 $

Explanation:

We call "y" total renting costs and "x" total vacation days

according to that in first case we have:

y = 100*x + 50

And for the second case

y = 120*x + 10 (1)

That two equation system represent the equation system of the situation, therefore if we solve that system we will determine the choises with same costs

equating these two equations:

100*x + 50 = 120*x + 10

50 - 10 = 120*x - 100*x

20*x = 40

x = 2 days

Plugging that value in any of the equation (1) or (2) we get y value

y = 120*2 + 10

y = 250 $