Question

The number of hours (H) that a candle will burn increases when the length of the candle (L) increases. Write the correct equation for this scenario and solve for the number of hours when the length is 2.

Answer 1

H = .1L; R = .2

H = 1L; R = 2

H = 45 over L; H = 22.5

H = 45 over L; H= 3

Answer 2

something VARIES DIRECTLY in synchronization with something else
is usually called "direct variation"

what does all that mean?

means if say "x" changes, "y" gets affected by the change in "x" by some factor
y = 2x
if x = 3
y = 2(3) = 6
if x = 25
y = 2(25) = 50
and so on and so on

Answer 3

so we know "H" gets affected with changes in "L
so we can say that "H varies directly to L"
or
H = (SOME NUMBER HERE) L

what's that number? we dunno
but we know from the table given, that when x = 3, y = 15
so
15 = (SOME NUMBER HERE) L

solve for (SOME NUMBER HERE) to find out what's that number, usually called the CONSTANT OF VARIATION

Answer 4

woops

x = 3, y = 15
so
15 = (SOME NUMBER HERE) 3