Question

Donna's company reimburses her expenses on food, lodging, and conveyance during business trips. The company pays $50 a day for food and lodging and $0.60 for each mile traveled. Donna drove 200 miles and was reimbursed $1,620.
Part A: Create an equation that will determine the number of days x on the trip. (3 points)

Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points)

Part C: How many days did Donna spend on this trip? (1 point)

Answer 1

A.

Multiply the number of days, x by 50 per day to get 50x.

Next multiply the number of miles driven to the amount she gets per mile: 0.60 x 200 = $120

Now add both together to equal the total of 1620.

The equation becomes: 50x +120 = 1620

B.

50x +120 = 1620

Step 1: subtract 120 from both sides ( subtraction property of equality):

50x = 1500

Step 2: Divide both sides by 50 ( division property of equality):

x = 1500 / 50

x = 30

C.

The trip lasted 30 days.