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According to data provided by the US Department of Energy, the average price per gallon of regular gasoline in the United States from September 1, 2014, to December 1, 2014, is modeled by the function F defined below, where F(x) is the average price per gallon x months after September 1.
F(x) =2.74 -0.19(x -3)
The constant 2.74 in this function estimates which of the following?

The graph shown models the number of candy bars a certain machine wraps with a label in x seconds.
According to the graph, what is the estimated number of candy bars the machine wraps with a label per second?

d =16tThe given equation represents the distance d, in inches, where t represents the number of seconds since an object started moving. Which of the following is the best interpretation of 16 in this context?

The graph shows the possible combinations of the number of pounds of tangerines and lemons that could be purchased for $18 at a certain store. If Melvin purchased lemons and 4 pounds of tangerines for a total of $18, how many pounds of lemons did he purchase?

A linear model estimates the population of a city from 1991 to 2015. The model estimates the population was 57 thousand in 1991, 224 thousand in 2011, and x thousand in 2015. To the nearest whole number, what is the value of x?

The graph shown models the number of residents of a certain city x years after 2010. How many residents does this model estimate the city had in 2010?

As part of a science project on evaporation, Amaya measured the height of a liquid in a container over a period of time. The function \( f\left(x\right)=33-0.18x \)  gives the estimated height, in centimeters (cm), of the liquid in the container x days after the start of the project. Which of the following is the best interpretation of 33 in this context?

A model predicts that a certain animal weighed 241 pounds when it was born and that the animal gained 3 pounds per day in its first year of life. This model is defined by an equation in the form f(x) = a + bx , where f(x)  is the predicted weight, in pounds, of the animal x days after it was born, and a and b are constants. What is the value of a ?

A rectangle has a length that is 15 times its width. The function y =(15w)(w) represents this situation, where y is the area, in square feet, of the rectangle and y>0. Which of the following is the best interpretation of 15w in this context?

\( d=16-\frac{x}{30} \) 
The equation shown gives the estimated amount of diesel d, in gallons, that remains in the gas tank of a truck after being driven x miles, where\( 0\le x\le480 \). What is the estimated amount of diesel, in gallons, that remains in the gas tank of the truck when x = 300?

The graph gives the estimated population y, in thousands, of a town x years since 2003, where \( 0\le x\le5 \) . Which of the following best describes the increase in the estimated population from x = 0 to x = 1?

A neighborhood consists of a 2-hectare park and a 35-hectare residential area. The total number of trees in the neighborhood is 3,934. The equation 2x +35y =3,934 represents this situation. Which of the following is the best interpretation of x in this context?