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Caleb used juice to make popsicles. The function $f\left(x\right)=-5x+30$ approximates the volume, in fluid ounces, of juice Caleb had remaining after making $x$ popsicles. Which statement is the best interpretation of the y-intercept of the graph of $y=f\left(x\right)$ in the xy-plane in this context?

The constant 2.74 in this function estimates which of the following?

In the xy-plane, the graph of the linear function $f$ contains the points $\left(0,2\right)$ and $\left(8,34\right)$. Which equation defines $f$, where $y=f\left(x\right)$?

Sean rents a tent at a cost of $\$11$ per day plus a onetime insurance fee of $\$10$. Which equation represents the total cost $c$, in dollars, to rent the tent with insurance for $d$ days?

The boiling point of water at sea level is 212 degrees Fahrenheit . For every 550 feet above sea level, the boiling point of water is lowered by about . Which of the following equations can be used to find the boiling point B of water, in , x feet above sea level?

Some values of the linear function f are shown in the table above. Which of the following defines f ?

A bus is traveling at a constant speed along a straight portion of road. The equation $d=30t$ gives the distance $d$, in feet from a road marker, that the bus will be $t$ seconds after passing the marker. How many feet from the marker will the bus be $2$ seconds after passing the marker?

The cost $y$, in dollars, for a manufacturer to make $x$ rings is represented by the line shown.

What is the cost, in dollars, for the manufacturer to make $60$ rings?

For the function f defined above, what is the value of ?

The function $h$ is defined by $h\left(x\right)=3x-7$. What is the value of $h\left(-2\right)$?

For the linear function $f$, the table shows three values of $x$ and their corresponding values of $f\left(x\right)$. Which equation defines $f\left(x\right)$?

For a training program, Juan rides his bike at an average rate of $5.7$ minutes per mile. Which function $m$ models the number of minutes it will take Juan to ride $x$ miles at this rate?

For the linear function $f$, the table shows three values of $x$ and their corresponding values of $f\left(x\right)$. Function $f$ is defined by $f\left(x\right)=ax+b$, where $a$ and $b$ are constants. What is the value of $a-b$?

Oil and gas production in a certain area dropped from 4 million barrels in 2000 to 1.9 million barrels in 2013. Assuming that the oil and gas production decreased at a constant rate, which of the following linear functions f best models the production, in millions of barrels, t years after the year 2000?

Some values of the linear function f are shown in the table above. What is the value of ?

In the xy-plane, the points and lie on the graph of which of the following linear functions?

The graph above shows the distance traveled d, in feet, by a product on a conveyor belt m minutes after the product is placed on the belt. Which of the following equations correctly relates d and m ?

A company’s total cost , in dollars, to produce x shirts is given by the function above, where m is a constant and . The total cost to produce 100 shirts is $800. What is the total cost, in dollars, to produce 1000 shirts? (Disregard the $ sign when gridding your answer.)

One gallon of paint will cover $220$ square feet of a surface. A room has a total wall area of $w$ square feet. Which equation represents the total amount of paint $P$, in gallons, needed to paint the walls of the room twice?

For the function $f$, the graph of $y=f\left(x\right)$ in the xy-plane has a slope of $3$ and passes through the point $\left(0,-8\right)$. Which equation defines $f$?

Which of the following does 45 represent in the equation?

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 $x$?

In the linear function $f$, $f\left(0\right)=8$ and $f\left(1\right)=12$. Which equation defines $f$?

$f\left(x\right)=2x+244$

The given function $f$ represents the perimeter, in $\text{centimeters} \left(\text{cm}\right)$, of a rectangle with a length of $x \text{cm}$ and a fixed width. What is the width, in $\text{cm}$, of the rectangle?

$w\left(t\right)=300-4t$

The function $w$ models the volume of liquid, in milliliters, in a container $t$ seconds after it begins draining from a hole at the bottom. According to the model, what is the predicted volume, in milliliters, draining from the container each second?