the answer is C). y= 1/4x + 2
<u>During the first hour</u> . . .
5% of the 1,000 bacteria die. At the end of the hour, 95% of them are left.
95% of 1,000 = 950
Then 100 are added : 950 + 100 = 1,050
<em>1,050</em> bacteria swimming around in the soup as the second hour begins.
<u>During the second hour</u> . . .
5% of the 1,050 bacteria die. At the end of the hour, 95% of them are left.
95% of 1,050 = 997.5
Then 100 are added : 997.5 + 100 = 1,097.5 . . . . . <em>1,098</em> rounded
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<u>Playing with this some more</u>:
If the same process continues, and the result at the end of each hour
is rounded to the nearest whole number, then the number of bacteria
steadily increases, but only for 88 hours. At the end of the 88th hour,
there are 1991 of the little critters, and after that, the population stays
constant at 1991. That's because the 5% loss during each hour after
that is (5% of 1,991) = 99.55 , which rounds to 100, and those are
replaced by the 100 new ones.
First write the equation:
#1- <span>six spools and one thimble balance thirteen buttons: 6</span>S+1T=13B
#2- <span>one spool balances one thimble and one button: 1S=1T+1B
Take the first equation and make it so you can substitute it in the second so we look for an alike variable 1T so the first equation is rearranged like this 1T=13B-6S Then we place it in the second equation like this:
1S=(13B-</span>6S)+1B then we simplify
1S+6S=13B+1B
7S=14B
S=7B
So one spool will balance seven buttons
hope it helps any questions further message me :)
For an exponential function the y-intercept is the "initial value" (not the common ratio).

will always be 2. if that's what you need
note that

because anything to the power of zero equals 0 (mathematically it's deciding something by itself)