Mrs. morton has a special reward system for her class. when all her students behave well, she rewards them by putting 3 marbles into a marble jar. when the jar has 100 marbles or more, the class has a party. right now, the jar contains 24
marbles.

This an example problem of arithmetic progression. Where there is a common of difference of 3. So the  formula

X = a1 + (n-1) d

Where x = 102 ( because is the first number greater than 100 that is divisible by 3

A1 = is the current amount of marble

N = number of times they need to behave

D = 3

102 = 24 + (n-2) 3

Solving for n = 27 times they need to behave

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation: