If you place a 65-foot ladder against the top a 16-foot building ,how many feet will the bottom of ladder be from the bottom of
1 answer:
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A typical exponential function is y=a
when x=3.5, y=16.2
when x=6, y=3936.6
plug these values into the exponential function:
16.2=a
3936.6=a
divide the second equation by the first to eliminate a:
243=
log both sides: log243=2.5logb
logb=log243/2.5
use your calculator to find b: b=3.6
plug b=3.6 in the first equation to find a:
16.2=a
a=0.183
please double check my calculation
when x=3.5, y=16.2
when x=6, y=3936.6
plug these values into the exponential function:
16.2=a
3936.6=a
divide the second equation by the first to eliminate a:
243=
log both sides: log243=2.5logb
logb=log243/2.5
use your calculator to find b: b=3.6
plug b=3.6 in the first equation to find a:
16.2=a
a=0.183
please double check my calculation