What is the maximum width of the mail slot?

it would rotate about 180 degrees.

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)

so part 1: the y values stay the same, but the x values are opposite signs.

part 2 & 3: the line will be of equal lengths and will be straight.

part 4: you'd see the same characteristic because the x coordinate becomes a negative making them at equal distances from the y axis?