Question

LeeAnn is bringing her sick cat Snowball in for a series of appointments at the veterinary clinic. Her total cost over the course of treatment will be $250 for tests and medicine plus $45 per appointment, a. Part A Write an equation to show the total cost, t, she will owe. t = or t = Part B The clinic offers LeeAnn a 25% discount off of her total cost. Write an equation to show her updated cost. t = OR t = What will be LeeAnn's total discounted cost if Snowball's treatment requires six veterinary appointments? LeeAnn's total cost will be?

Answer 1

Total discounted cost: $442

Original total cost: $520

Explanation:

Part A:

When bringing cat to veterinary clinic, LeeAnn has to pay for the tests, medicine and appointment fee for each appointment.

Assume that the course requires x appointments

=> Cost for x appointment fee is: x*Cost per appointment

=> Total cost (t) = Costs for tests and medicines + x*Cost per appointment

=> t = 250 + 45x

Part B:

As LeeAnn got 25% discount off total cost, so that her updated cost is calculated in the following equation:

Updated cost = Original total cost - Original total cost x Discount percentage

= 250 + 45x - (250+45x) x 15% = 250 + 45x - 37.5 - 6.75x

= 212.5 + 38.25x

=> Equation of updated cost: Updated cost = 212.5 + 38.25x

If the treatment requires 6 appointments => x = 6

=> Original total cost will be: t = 250 + 45 x 6 = $520

=> Her total discounted cost will be:

Updated cost = Original total cost - Original total cost x Discount percentage = 520 - 520 x 15% = $442