Determine the two consecutive integers between which the given number is located on the number line. 19/6 is located between __ and __ on the number line.

I would like an explanation of the work for this problem as I'm a little confused and stuck. Thank you. Also, this is worth 50 points if that matters.

between 3 and 4

Step-by-step explanation:

to find 19/6 located where on the number line

first we need to convert 19/6 to decimal

19/6 = 3.166...

so lets now see where 3.166 lies

it first lies between 3.160 and 3.170

but we need integer

so we go deeper and see

it lies between 3.100 and 3.200

and then we need to go more deeper to get an integer not decimal

now it lies between 3 and 4

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation: