Harold and his friends want to play another game–pick up sticks. Harold is at the store with his father to buy red sticks and blue sticks. The store sells red sticks in packs of 8 and blue sticks in packs of 12. To play the game, Harold needs an equal number of red sticks and blue sticks. Harold wants to buy the minimum number of packs that will give him an equal number of red and blue sticks without any sticks of either color leftover. What is the LCM of 8 and 12?

24

Step-by-step explanation:

12 x 2 = 24

8 x 3 = 24

the one that has a slope of 1/2 and is positive.

step-by-step explanation: 2 buckets 1 trip ; 4 buckets 2 trips and so on.

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.