Question

A landscaping company is delivering crushed stone to a construction site .The Table shows the total weight in pounds W, of n loads of crushed stone. Which equation could represent the total weight, in pounds ,for n loads of crushed stone?

A.600/n
B.W=6,000-2,000n
C.W=2,000n
D.W=n+2,000

Answer 1

Option (C)

Explanation:

From the given table,

Dependent variable is the weight of each load and independent variable is number of loads of crushed stones.

Let the equation that represents the total weight is,

W = mn + b

Where 'm' = slope of the line

b = y-intercept

n = number of loads

Since graph starts from the origin (0, 0), y - intercept 'b' will be 0.

Two points lying on the line are (0, 0) and (1, 2000)

Slope of the line 'm' =
`(y_2-y_1)/(x_2-x_1)`

=
`(2000-0)/(1-0)`

=2000

Therefore, equation will be,

W = 2000n

Option (C) will be the answer.