The length of a ribbon is 3/4 meter. sun yi needs pieces measuring 1/3 meter for an art project. what is the greatest number of pieces measuring 1/3 meter that can be cut from the ribbon? how much ribbon will be left after sun yi cuts the ribbon? explain your reasoning

She can make maximum 2 pieces

Amount left = m

Explanation:

1- getting the maximum number of pieces:

We know that the total length is m and that each piece would measure

To get the number of pieces, we would simply divide the total length by the length of each piece as follows:

number of pieces = pieces

We will need to round down to get the maximum number of pieces.

This means that the maximum number of pieces that she can cut is 2 pieces

2- getting the leftover:

We calculated that she can make two pieces each of length m

This means that:

total length of two pieces = m

We know that the total length is m

This means that:

leftover = m

Hope this helps :)

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.