Question

A standard wheel excavator can lift up to 0.35 cubic meter of rock. A dump truck can hold 14.0 cubic meters of rock. Which equation describes L, the amount of space available on the dump truck after n excavated loads?

A) AL > 14 – 0.35n
B) BL 14 – 0.35n
C) CL < 14 – 0.35n
D) DL < 14 – 0.35n

Answer 1

The equation that describes the amount of space available on the dump truck after n excavated loads is AL > 14 – 0.35n (option A).

Step-by-step explanation:

The equation that describes the amount of space available on the dump truck after n excavated loads is AL > 14 – 0.35n (option A)

The dump truck can hold 14.0 cubic meters of rock, and each load from the wheel excavator is 0.35 cubic meters. So, the total amount of space available on the dump truck after n loads is 14 minus the amount of rock excavated (0.35 multiplied by n).

For example, if there are 5 loads of rock excavated, the equation would be AL > 14 – 0.35 x 5, which simplifies to AL > 14 – 1.75 or AL > 12.25. This means that the amount of space available on the dump truck after 5 loads of rock excavated is greater than 12.25 cubic meters.