D 23
On a sunny day, Bill wants to find the height of a tree. He walks feet along the shadow that the tree casts
until his shadow ends at the same point as the tree's shadow. Bill is 6 feet tall and the length of his shadow
is 8 feet. How tall is the tree?
a) Draw a diagram that represents the problem. Show the known quantities and use a variable to indicate
the height of the tree.
b) Write an equation/proportion involving the unknown quantity.

168

step-by-step explanation:

i am pretty sure that the answer is 168

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.

answer: 5100 just subtract

step-by-step explanation: