The cost to rent a rug-cleaning machine from the supermarket is $23 per day. The supermarket charges a check-out fee of $45 for the rental. Tristanne spent $137 to rent the rug-cleaning machine. If d represents the number of days Tristanne rents the machine, which equation can be used to find the value of d?

a. 23d=137

b. 23d+45=137

c. 45d=137

d. 45d+23=137

The equation you would need is B. 23 multiplied by the number of days since 23 is the cost per day, plus a 45 dollar flat rate. All of that equals the total amount spent, 137.

Since Tristanne spent a total of 137 dollars renting the rug-cleaning machine; this number will be isolated on one side of the equation.

137 = ?

There is a flat check-out fee of 45 dollars. This will remain constant no matter what.

137 = 45 + ?

The rate of renting the machine is 23 dollars per day. The amount paid will depend on the amount of days Tristanne rents the machine. If the amount of days she rents the machine is d, she will pay 23 dollars times each day she rents the machine.

137 = 45 + 23d

Answer:

b. 23d + 45 = 137