A rental car agency charges a flat fee of $110 plus $46 per day to rent a certain car. another agency charges a fee of $70 plus $54 per day to rent the same car. Using a graphing calculator find the number of days for which the costs are the same.

First make and equation. Since you want to find the number of the day where both charge the same total amount, you would make the equation:

let x = the number of days

110+46 (x) = 70+54 (x)

Solve:

110-70+46 (x) = 70-70+54 (x)

40+46 (x) = 54 (x)

40+46 (x) - 46 (x) = 54 (x) - 46 (x)

40=8 (x)

40/8=8x/8

5=x

Therefore your answer would be 5 days