Arkell decorates old bottles to make vases. The table shows the number of vases he has at the end of each day. This situation represents (geometric or arithmetic) sequence. The common (difference or ratio) is . At the end of the seventh day, Arkell will have ( 7, 36, 42, 6) vases. Day --- Vases

1 --- 6

2 --- 12

3 --- 18

4 --- 24

5 30

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.

2 pecks

step-by-step explanation: