Adumpster in the shape of a rectangular prism has a volume of 240 cubic feet. the length of the dumpster is 4 feet less than twice the width w, and the height is 1 foot less than the width.
find the equation, in terms of w, that could be used to find the dimensions of the dumpster in feet.

240 = w (2w − 4) (w − 1)

Step-by-step explanation:

Volume of a rectangular prism is width times length times height.

V = wlh

Given:

V = 240

l = 2w − 4

h = w − 1

Substituting:

240 = w (2w − 4) (w − 1)

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.