Final answer:
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:
- If x ≤ 15, the fee is $25.
- If 15 < x ≤ 40, the fee is $35.
- 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):
- 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.