Which figure could be the result of dilating the trapezoid with a scale factor between 0 and 1? On a coordinate plane, a trapezoid has points (0, 0), (1, 4), (2, 4), (3, 0). On a coordinate plane, a trapezoid has points (0, 0), (1, 3), (2, 3), (3, 0). On a coordinate plane, a trapezoid has points (0, 0), (1.5, 6), (4.5, 6), (6, 0). On a coordinate plane, a trapezoid has points (0, 0), (2, 9), (5, 9), (6.5, 0). On a coordinate plane, a trapezoid has points (0, 0), (0.5, 2), (1, 2), (1.5, 0).

On a coordinate plane, a trapezoid has points (0, 0), (0.5, 2), (1, 2), (1.5, 0).

Step-by-step explanation:

The given trapezoid has vertices at

(0, 0), (1, 4), (2, 4), (3, 0).

We want to choose from the given options the trapezoid with a scale factor between 0 and 1.

If a scale factor of a dilation is between 0 and 1, the size of the image trapezoid will be smaller than the preimage.

When we analyze the coordinates carefully, the answer is, a trapezoid has points (0, 0), (0.5, 2), (1, 2), (1.5, 0).

The reason is that, when we multiply the coordinates of (0, 0), (1, 4), (2, 4), (3, 0) by 0.5, we obtain (0, 0), (0.5, 2), (1, 2), (1.5, 0).

Hence the scale factor is 0.5 and this is between 0 and 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.