John has 54 white marbles and 9 yellow marbles. ben has 16 white marbles and 96 yellow marbles. noel has 12 white marbles and 72 yellow marbles. the boys who have the same ratio of white marbles to yellow marbles are

Ben and Noel

Step-by-step explanation:

To find the answer you simply calculate the ratio of white marbles to yellow marbles of each boy, and then you compare them.

For John:

For Ben (using simplification):

For Noel (using simplification):

Comparing the ratios you can see that the boys who have the same ratio of white marbles to yellow marbles are Ben and Noel.

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.