Students Chaya and Nigel are solving the equation 4(x – 2) 1/2 = 16. The table shows the steps of their solutions. Which student(s) solve(s) the equation correctly, and why?

A. Both students solve the equation correctly even though they each use a different strategy.

B. Neither student solves the equation correctly because they both make mathematical errors.

C. Only Chaya solves the equation correctly because Nigel does not distribute the 4 between the Given and Step 1.

D. Only Nigel solves the equation correctly because Chaya should not distribute between the Given and Step 1.

d

step-by-step explanation:

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.

35x 3= 105

step-by-step explanation:

35+35= 70   70 + 35= 105