: A tank contains salt dissolved in 120 gallons of water. A solution containing 1/2 pound of salt per gallon is pumped into the tank at a rate of 6 gallons per minute. At the same time, the tank is drained at a rate of 6 gallons per minute. Let y be the number of pounds of salt in the tank at time t, measured in minutes. (i) Write a differential equation modeling the scenario described above. (Note: no work required)

the answer is c)8

step-by-step explanaction:

answer-

the equation that models this pattern is

solution-

a researcher placed a petri dish with 32,000 bacterial cells. one hour after being placed in the vacuum chamber, the number of cells in the petri dish had halved. another hour later, the number of cells had again halved.

this can be represented as exponential decreasing function,

where,

putting the values,

y-intercept means, where x=0, so

the coordinate of this poin will be (0, 32000)

this means when x=0 or at the starting of the research, the number of bacteria cells was 32000.

after 3 hours, number of bacteria cells will be,

the   coordinate of this point will be (3, 4000)