A waiter brings a hot bowl of soup to you in a restaurant and says "enjoy it while it's warm.” The temperature of the bowl of
soup, in degrees Fahrenheit, is F (m) = 76 + 54e-0.162m,
where m is the time, measured in minutes, since it was brought
to the table. The graph of this model is shown below.
-150
-100
Temperature (°F)
y = 76
-50
25
30
151 20
Time (minutes)
QUESTION B:
As time goes on (
mo), the temperature of the soup will
slowly approach the temperature of the room. What is the
temperature of the room?

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.

1) 2/5

2) zero=0/1

3) zero=0/2

4) -4/5

5) undefined=3/0

faster, im not sure why but i know it is faster