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A sample of a certain isotope takes 29 years to decay to half its original mass. The function \( s\left(t\right)=184\left(0.5\right)^{\frac{t}{29}} \)  gives the approximate mass of this isotope, in grams, that remains t years after a 184-gram sample starts to decay. Which statement is the best interpretation of \( s\left(58\right)=46 \) in this context?

A researcher observe a sample of a nuclide. An exponential model estimates that the mass, in grams, of the sample decreases by 23% every 11.69 minutes. Which of the following equations could represent this model, where M is the estimated mass, in grams, of the sample t minutes after the researcher began observing the sample?

For the function \( f \) , for every increase of 2 in the value of x, the value of \( f\left(x\right) \) increases by a factor of c, where c is a constant. Which of the following equivalent forms of function \( f \) displays the value of c as the base or the coefficient?

Luis has $150 in an account. Each year he expects to have 1.1% more money in the account than he had the previous year. Which of the following models best describes how Luis expects the money in his account to change over time?

The number of bacteria in a liquid medium doubles every day. There are 48,000 bacteria in the liquid medium at the start of an observation. Which of the following represents the number of bacteria, y, in the liquid medium t days after the start of the observation?

A company opens an account with an initial balance of $35,600.00. The account earns interest, and no additional deposits or withdrawals are made. The account balance is given by an exponential function A, where A(t)is the account balance, in dollars, t years after the account is opened. The account balance after 15 years is $129,672.38. Which equation could define A?

The value of a share of stock was $240 on the day it was purchased. Every year, the value of the share of stock increases by 1% of its value the previous year. Which function V gives the value, in dollars, of the share of stock t years after the day it was purchased?

For the function f, for each increase in the value of x by c, where c is a positive constant, the value of \( f\left(x\right) \) increases by a factor of 27. Which of the following equivalent forms of the function f displays \( \frac{1}{c} \) as a coefficient of x?

32 teams are competing in a baseball tournament. The tournament has 5 rounds. After each round, half the teams competing are eliminated from the tournament. lf \( r \) teams remain in the tournament after \( x \) rounds of play, which of the following gives \( r \) in terms of \( x \)?

At different times on a certain day, a manager at a theme park recorded the number of visitors. An exponential model gives the estimated number of visitors, \( V \), at the theme park \( t \) hours after the theme park opened, where \( t\le3 \). Based on the model, \( 80 \) visitors were estimated to be at the theme park when it opened, and every \( 30 \) minutes the estimated number of visitors increased by \( 150\% \) of the estimated number of visitors \( 30 \) minutes earlier. Which of the following equations best represents this model? 

Sonja purchased a laptop in September 2018 when the laptop had a value of $1,000. Each month for the next 50 months, the value of the laptop decreased by 2% of the previous month's value. Which equation represents this situation, where v is the value of the laptop, in dollars, m is the number of months since Sonja purchased the laptop, and \( m\le50 \) ?

On January 1, there were 233 views of a video posted on a social media site. Every 2 days after January 1, the number of views of the video had increased by 60% of the number of views 2 days earlier. The function \( f \) gives the predicted number of views x days after January 1. Which equation defines \( f \)?