Question

Jamie needs to take her dog to the groomer. the groomer charges $25 if the dog is 15 pounds or less. they charge $35 if the dog is over 15 and no more than 40 pounds. if the dog is over 40 pounds, the charge is $50 plus 1.5 times the number of pounds over 40 that the dog is. which function represents the grooming fee, t(x), in terms of weight, x, and how much will jamie pay if her dog weighs 45 pounds?

Answer 1

The grooming fee can be calculated using a function that considers the weight of the dog. For a dog weighing 45 pounds, Jamie will pay $57.50.

Step-by-step explanation:

The grooming fee can be represented by the function t(x) as follows:

1. If x ≤ 15, the fee is $25.
2. If 15 < x ≤ 40, the fee is $35.
3. If x > 40, the fee is $50 plus 1.5 times the number of pounds over 40.

To find out how much Jamie will pay if her dog weighs 45 pounds, we can plug in x = 45 into the function t(x):

1. Since 45 > 40, the charge is $50 plus 1.5 times the number of pounds over 40. This is calculated as: 50 + 1.5 × (45 - 40) = 50 + 1.5 × 5 = 50 + 7.5 = $57.50.

Therefore, Jamie will pay $57.50 if her dog weighs 45 pounds.