Ascientist is conducting an experiment on two types of bacteria to determine which type will grow faster in a pool. after collecting data for two weeks, she finds that she can model the growth rates as follows:
bacteria 1: y = 4x
bacteria 2: y = 4x2
in these models, y represents the number of bacteria colonies and x represents the number of hours.

question 1) based on these models, which type of bacteria is growing faster?
question 2) how do you know which bacteria is growing faster?
(since i didn't see anyone ask this question, i will provide the correct answers as well. feel free to comment for free )
answer to question 1 is: bacteria 1
answer to question 2 is: an exponential function grows faster than a quadratic function.

step-by-step explanation:

i have done this all on a piece of paper but idk how to put it on here cuz it needs to be drawn

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

3+x

step-by-step explanation:

0 and 5 minutes

step-by-step explanation:

given that one morning eight buses arrive late by the number of minutes given below:

0 8 2 6 9 2 0 7 8

write these in ascending order

0   0 2 6 7 8 8 9

in the afternoon two more buses arrive at the bus stop say by x and y minutes late.

total number of buses = 10

median = average of 4th and 5th after arranging in ascending order

since 4th entry is 6, the values of x and y should be below 6

also given 0 is the mode so either x or y or both should be 0 because then only 0 gets the maximum frequency and hence mode

thus we have

0 0 0 2 6 7 8 8 9 and another unknown entry which is below 6.

since median is 3.5, we have the unknown entry to be 5 only because then only median =( 2+5)/2

thus the after noon buses were late by 0 and 5 minutes.