Noa drove from the dead sea up to jerusalem, and her altitude increased at a constant rate of 740 meters per hour. when she arrived in jerusalem after 1.5 hours of driving, her altitude was 710 meters above sea level. let a(t)a(t) denote noa's altitude relative to sea level aa (measured in meters) as a function of time t (measured in hours).

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answer: c, the green line

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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.