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The total cost $f\left(x\right)$, in dollars, to lease a car for $36$ months from a particular car dealership is given by $f\left(x\right)=36x+\mathrm{1,000}$, where $x$ is the monthly payment, in dollars. What is the total cost to lease a car when the monthly payment is $\$400$?

A window repair specialist charges $\$220$ for the first two hours of repair plus an hourly fee for each additional hour. The total cost for $5$ hours of repair is $\$400$. Which function $f$ gives the total cost, in dollars, for $x$ hours of repair, where $x\ge 2$?

The function $h$ is defined by $h\left(x\right)=4x+28$. The graph of $y=h\left(x\right)$ in the xy-plane has an x-intercept at $\left(a,0\right)$ and a y-intercept at $\left(0,b\right)$, where $a$ and $b$ are constants. What is the value of $a+b$?

An economist modeled the demand Q for a certain product as a linear function of the selling price P. The demand was 20,000 units when the selling price was $40 per unit, and the demand was 15,000 units when the selling price was $60 per unit. Based on the model, what is the demand, in units, when the selling price is $55 per unit?

The cost of renting a backhoe for up to $10$ days is $\$270$ for the first day and $\$135$ for each additional day. Which of the following equations gives the cost $y$, in dollars, of renting the backhoe for $x$ days, where $x$ is a positive integer and $x\le 10$?

The front of a roller-coaster car is at the bottom of a hill and is 15 feet above the ground. If the front of the roller-coaster car rises at a constant rate of 8 feet per second, which of the following equations gives the height h, in feet, of the front of the roller-coaster car s seconds after it starts up the hill?

According to a model, the head width, in millimeters, of a worker bumblebee can be estimated by adding 0.6 to four times the body weight of the bee, in grams. According to the model, what would be the head width, in millimeters, of a worker bumblebee that has a body weight of 0.5 grams?

If f is the function defined by , what is the value of ?

$d=16t$

The 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?

$f\left(x\right)=39$

For the given linear function $f$, which table gives three values of $x$ and their corresponding values of $f\left(x\right)$? 

The function $g$ is defined by $g\left(x\right)=6x$. For what value of $x$ is $g\left(x\right)=54$?

In the xy-plane, the graph of the linear function $f$ contains the points $\left(0,3\right)$ and $\left(7,31\right)$. Which equation defines $f$, where $y=f\left(x\right)$?

The number $y$ is $84$ less than the number $x$. Which equation represents the relationship between $x$ and $y$?

The function $f$ is defined by the equation $f\left(x\right)=7x+2$. What is the value of $f\left(x\right)$ when $x=4$?

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 $f\left(x\right)=a+bx$, where $f\left(x\right)$ 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 $a$?

The function g is defined by . What is the value of ?

The function $f$ is defined by $f\left(x\right)=4x$. For what value of $x$ does $f\left(x\right)=8$?

According to the graph, what is the cost for each additional mile traveled, in dollars, of a cab ride?

The graph of this equation in the xy-plane is a line. What is the best interpretation of the x-intercept in this context?

$F\left(x\right)=\frac{9}{5}\left(x-273.15\right)+32$

The function $F$ gives the temperature, in degrees Fahrenheit, that corresponds to a temperature of $x$ kelvins. If a temperature increased by $9.10$ kelvins, by how much did the temperature increase, in degrees Fahrenheit?

The function $f$ is defined by $f\left(x\right)=7x-84$. What is the x-intercept of the graph of $y=f\left(x\right)$ in the xy-plane?

The table shows four values of $x$ and their corresponding values of $f\left(x\right)$. There is a linear relationship between $x$ and $f\left(x\right)$ that is defined by the equation $f\left(x\right)=mx-28$, where $m$ is a constant. What is the value of $m$?

The graph of the function $f$, where $y=f(x)$, gives the total cost $y$, in dollars, for a certain video game system and $x$ games. What is the best interpretation of the slope of the graph in this context?

The functions $f$ and $g$ are defined as $f\left(x\right)=\frac{1}{4}x-9$ and $g\left(x\right)=\frac{3}{4}x+21$. If the function $h$ is defined as $h\left(x\right)=f\left(x\right)+g\left(x\right)$, what is the x-coordinate of the x-intercept of the graph of $y=h\left(x\right)$ in the xy-plane?

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?