Question

"The total weight w, in pounds, of a tractor-trailer capable of carrying 8 cars depends on the number of cars x on the trailer. This situation is represented by the function f(w) = 37000 + 4200x. Find w(6) and explain its meaning."

a) w(6) = 37000 + 4200 * 6; It represents the total weight of the tractor-trailer when carrying 6 cars.

b) w(6) = 4200 + 37000 * 6; It represents the total weight of the tractor-trailer when carrying 6 cars.

c) w(6) = 37000 * 4200 * 6; It represents the total weight of the tractor-trailer when carrying 6 cars.

d) w(6) = 37000 - 4200 * 6; It represents the total weight of the tractor-trailer when carrying 6 cars.

Answer 1

The total weight of the tractor-trailer when carrying 6 cars is 62200 pounds.

Step-by-step explanation:

The correct answer is a) w(6) = 37000 + 4200 * 6; It represents the total weight of the tractor-trailer when carrying 6 cars.

To find w(6), we substitute the value of x as 6 in the function f(w) = 37000 + 4200x. So, w(6) = 37000 + 4200 * 6 = 37000 + 25200 = 62200 pounds.

This means that when the tractor-trailer is carrying 6 cars, the total weight is 62200 pounds.