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. Part B The clinic offers LeeAnn a 25% discount off of her total cost. Write an equation to show her updated cost. Part C What will be LeeAnn's total discounted cost of Snowball's treatment requires six veterinary appointments? Form B Show your work.

Answer 1

Answer:

Part A: y = $250 + $45x

Part B: U = y * 0.75  or  U = ($250 + $45x) * 0.75

Part C: $390

Step-by-step explanation:

Part A: In this scenario, we have fixed costs for the treatment and two variables, one of which is the number of appointments which is represented by the letter x and the total amount of costs which is represented by the letter y in the following equation...

y = $250 + $45x

Part B: Now we have the equation for the total cost we can update it to add the 25% discount. Since this is a discount it means that it is being subtracted from the 100% original price. Therefore, we need to multiply the total cost by the decimal form of 75% (100 - 25) which we can get by dividing the percentage by 100 like, which gives us 0.75. Now we multiply this value by the total cost in order to get the updated cost (U).

U = y * 0.75  or  U = ($250 + $45x) * 0.75

Part C: Now we can substitute the number of appointments variable (x) by 6 and solve for U.

U = ($250 + $45x) * 0.75

U = ($250 + $45(6)) * 0.75

U = ($250 + $270) * 0.75

U = $520 * 0.75

U = $390