Question

the number of semi trucks, t, needed to ship metal varies directly as the weight, w, of the metal. it takes 120 semi trucks to ship 1080 tons of metal. how many trucks are needed for 1404 tons of metal?

the number of trucks needed for 1404 tons of metal is semi trucks.
(type a whole number.)

Explanation:

Set up the direct variation equation

Using the Direct Variation knowledge point

$$ T = k \cdot W $$

Find the constant of variation

Using the Constant of Variation knowledge point

$$
LATEXBLOCK0
$$

Calculate the required number of trucks

Using the Direct Variation knowledge point

$$
LATEXBLOCK1
$$

Answer:

The number of trucks needed for 1404 tons of metal is <blank>156</blank> semi trucks.