线性建模・解释与预测

The graph gives the estimated number of catalogs y, in thousands, a company sent to its customers at the end of each year, where x represents the number of years since the end of 1992, where 0 ≤ x ≤ 10.Which statement is the best interpretation of the y-intercept in this context?

A certain apprentice has enrolled in 85 hours of training courses. The equation 10x + 15y = 85 represents this situation, where x is the number of on-site training courses and y is the number of online training courses this apprentice has enrolled in. How many more hours does each online training course take than each on-site training course?

g(m) = -0.05m + 12.1
The given function g models the number of gallons of gasoline that remains from a full gas tank in a car after driving m miles. According to the model, about how many gallons of gasoline are used to drive each mile?

Last week, an interior designer earned a total of $1 ,258 from consulting for x hours and drawing up plans for y hours. The equation 68x + 85y = 1,258 represents this situation. Which of the following is the best interpretation of 68 in this context?

A store sells two different-sized containers of blueberries. The store's sales of these blueberries totaled 896.86 dollars last month. The equation 4.51x + 6.07y = 896.86 represents this situation, where x is the number of smaller containers sold and y is the number of larger containers sold. According to the equation, what is the price, in dollars, of each smaller container?

Kaylani used fabric measuring 5 yards in length to make each suit for a men's choir. The relationship between the number of suits that Kaylani made, x, and the total length of fabric that she purchased y, in yards, is represented by the equation y- 5x = 6. What is the best interpretation of 6 in this context?

The function f defined by f(t)= 14t + 9 gives the estimated length, in inches, of a vine plant t months after Tavon purchased it. Which of the following is the best interpretation of 9 in this context?

The graph shows the predicted value y, in dollars, of a certain sport utility vehicle x years after it is first purchased.

Which of the following is closest to the predicted value of the sport utility vehicle 3 years after it is first purchased?

The graph models the number of active projects a company was working on x months after the end of November 2012, where 0 \( \le \) x \( ≤ \)6. According to the model, what is the predicted number of active projects the company was working on at the end of November 2012?

A bank account was opened with an initial deposit. Over the next several months, regular deposits were made into this account, and there were no withdrawals made during this time. The graph of the function f shown, where y= f(x), estimates the account balance, in dollars, in this bank account x months since the initial deposit. To the nearest whole dollar, what is the amount of the initial deposit estimated by the graph?

The function \( f\left(x\right) \) is defined as 19 more than 4 times a number x. If \( y=f\left(x\right) \)  is graphed in the xy-plane, what is the best interpretation of the x-intercept?

The graph shown gives the estimated value, in dollars, of a tablet as a function of the number of months since it was purchased. What is the best interpretation of the y-intercept of the graph in this context?