Alyssa said that 6/8 and 9/12 are not equivalent because there's no whole number you can multiply both parts of 6/8 by to get 9/12. is she correct? explain.

           No , she is not correct.

We are given two fractions as:

                          6/8 and 9/12.

Now when we multiply the numerator and denominator of 6/8 by 3 we have:

and when we multiply the numerator and denominator of 9/12 by 2 we have:

Hence, we get that both the fractions are equivalent.

Since by multiplying the numerator and denominator of both the fractions by some whole number we get that the two fractions are equal.

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.