Final answer:
To find the average rate (speed) of a car, divide the distance traveled by the time taken. Simplify the expression T = 5a²+10²+7+10 hours. Then use the expression R = D / T to find the average rate of the car.
Step-by-step explanation:
To find the average rate (speed) of a car, you need to divide the distance traveled by the time taken. In this case, the distance traveled is 25 miles and the time is given as T = 5a²+10²+7+10 hours.
To simplify the expression, you can perform the operations inside the parentheses first, then evaluate the exponent. This will give you a simplified expression for the average rate of the car.
First, simplify the expression inside the parentheses: T = 5a² + 10² + 7 + 10 = 5a² + 100 + 7 + 10 = 5a² + 117.
Then, the expression for the average rate of the car is R = D / T = 25 miles / (5a² + 117) hours.