F is inversely proportional to d^2. When F = 14, d = 5 Work out d
(positive value rounded to 2 DP) when F = 3

d ≈ 10.80

Step-by-step explanation:

Given F is inversely proportional to d² then the equation relating them is

F = ← k is the constant of variation

To find k use the condition F = 14, d = 5 , then

14 = = ( multiply both sides by 25 )

350 = k

F = ← equation of variation

when F = 3 , then

3 = ( multiply both sides by d² )

3d² = 350 ( divide both sides by 3 )

d² = ( take square root of both sides )

d = ≈ 10.80 ( positive value to 2 dec. places )

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.