Values for the rate R(t), in acres per hour, of a wild fire t hours since the fire began are given in the table below. You may assume that the R(t) is continuous and strictly
increasing or decreasing over each interval in the provided table.
Use the data provided in the table (and n=5) to determine an overestimate of the
total amount of acres the forest fire covered in the first 5 hours.
(Round to two decimal places)

43

step-by-step explanation:

50- 250 is correct i did that one too

step-by-step explanation:

idk

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.