Question

David rented a car for his family vacation. The total bill for the car was $622. The cost for one week is $400, plus $37 for each additional day. Use the equation 622=400+37x to find how many additional days David had the car.

a) x=3
b) x=8
c) x=37
d) x=6

Answer 1

622 = 400 + 37x
622 - 400 = 400 - 400 + 37x
222 = 37x
222/37 = 37x/37
6 = x

Answer 2

d) x=6

Explanation:

Step 1: Simplify both sides of the equation.

622=37x+400

Step 2: Flip the equation.

37x+400=622

Step 3: Subtract 400 from both sides.

37x+400−400=622−400

37x=222

Step 4: Divide both sides by 37.

37x/37=222/37

x=6