After a special medicine is introduced into a petri dish full of bacteria, the number of bacteria remaining in the dish decreases rapidly. The relationship between the elapsed time ttt, in seconds, and the number of bacteria, B_{\text{second}}(t)B second (t)B, start subscript, start text, s, e, c, o, n, d, end text, end subscript, left parenthesis, t, right parenthesis, in the petri dish is modeled by the following function: Bsecond(t)=6000⋅(1516)t Complete the following sentence about the rate of change in the number of bacteria in minutes. Round your answer to two decimal places.

ᴅᴏɴᴛ ɢᴏ ᴛᴏ ʙʀᴀɪɴʟʏ.ᴛᴏᴅᴀʏ! ᴛʜᴇʏ ᴡɪʟʟ ʜᴀᴄᴋ ʏᴏᴜ ᴀɴᴅ ꜱᴄᴀᴍ ʏᴏᴜ! ᴍʏ ɢʀᴀɴᴅᴘᴀ ɢᴏᴛ ʜᴀᴄᴋᴇᴅ ʜᴇʀᴇ! ɪᴛ ɪꜱ ᴀ ʙɪɢ ᴘʀᴏꜰᴀɴɪᴛʏ ꜱɪᴛᴇ! ᴛʜᴇʀᴇ ᴀʀᴇ ʙᴏᴛꜱ ᴏɴ ʙʀᴀɪɴʟʏ ᴛʀʏɪɴɢ ᴛᴏ ɢᴇᴛ ʏᴏᴜ ᴛᴏ ᴛʜɪꜱ ᴡᴇʙꜱɪᴛᴇ! ᴅᴏɴᴛ ʟᴇᴛ ᴛʜᴇᴍ ᴡɪɴ! ꜱᴘʀᴇᴀᴅ ᴛʜɪꜱ ᴛᴏ ᴏᴛʜᴇʀ ᴄᴏᴍᴍᴇɴᴛ ꜱᴇᴄᴛɪᴏɴꜱ! ꜱᴘʀᴇᴀᴅ ᴛʜᴇ ᴡᴏʀᴅ!

Step-by-step explanation:

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer