Question

the total weight w in pounds of a tractor trailer capable of carrying 8 cars depends on the number of cars c on the trailer.

Answer 1

Given that the total weight w in pounds of a tractor trailer capable of carrying 8 cars depends on the number of cars c on the trailer and that the situation is represented by the function rule w = 37,000 + 4,200c

To graph the function, we draw the coordinate axis with the number of cars in the horizontal (x) axis and the weight of the truck (in thousands) in the vertical (y) axis.

The horizontal axis is calibrated starting from 0 with increment of 1 and the vertical axis is calibrated starting from 0 with the increment of 5.

From the given function rule, when c = 0 (i.e. when the truck is carrying no car) the weight of the truck is given by w = 37,000 + 4,200(0) = 37,000

Thus, the graph will start at point (0, 37).

Also when the truck is carrying 8 cars, the weight of the truck is given by w = 37,000 + 4,200(8) = 70,600

Thus, the graph will end at point (8, 70.6).