Question

A rental car company is running two specials. Customers can pay $50 to rent a compact car

for the first day plus $6 for each additional day, or they can rent the same car for $20 the
first day and $12 for every additional day beyond that. Nora notices that, given the number
of additional days she wants to rent the car for, the two specials are equivalent. How many
additional days does Nora want?
Write a system of equations, graph them, and type the solution

Answer 1

After 5 additional days it will be equal

Explanation:

1st special: 6x + 50

2nd special: 12x + 20

6x + 50 = 12x + 20

Subtract 20 from both sides;

6x + 30 = 12x

Subtract 6x from both sides;

30 = 6x

Divide both sides by 6;

x = 5