Suppose there are 100 lockers in a school hallway and they are all closed. Only 25 students come through the hallway and start opening and closing the lockers. The first student opened
all the lockers. The second student closed every second locker and so forth. The Third student changes the state
of every 3rd locker. The fourth student changes the state of every 4th locker, the fifth student changes the state
of every 5th locker and so on, until the 25th student.
1. What is the state of the following locker numbers: #23, #55, #81, #100?

207/8 is the right

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.

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph