sat-dog

Hector used a tool called an auger to remove corn from a storage bin at a constant rate. The bin contained 24,000 bushels of corn when Hector began to use the auger. After 5 hours of using the auger, 19,350 bushels of corn remained in the bin. If the auger continues to remove corn at this rate, what is the total number of hours Hector will have been using the auger when 12,840 bushels of corn remain in the bin?

The box plots summarize the masses, in kilograms, of two groups of gazelles. Based on the box plots, which of the following statements must be true?

A school district is forming a committee to discuss plans for the construction of a new high school. Of those invited to join the committee, 15% are parents of students, 45% are teachers from the current high school, 25% are school and district administrators, and the remaining 6 individuals are students. How many more teachers were invited to join the committee than school and district administrators?

For line $h$, the table shows three values of $x$ and their corresponding values of $y$. Line $k$ is the result of translating line $h$ down $5$ units in the xy-plane. What is the x-intercept of line $k$?

Based on the texts, both Sykes in Text 1 and the scholars in Text 2 would most likely agree with which statement?

Which choice most effectively uses data from the graph to illustrate the claim?

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?

Which choice best states the main purpose of the text?

Which choice completes the text so that it conforms to the conventions of Standard English?

The quadratic function h is defined as shown. In the xy-plane, the graph of intersects the x-axis at the points and , where t is a constant. What is the value of t ?

Which choice completes the text with the most logical transition?

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?

Which choice most effectively uses data from the graph to complete the example?

Which finding, if true, would most directly support the journalist’s claim?

Which choice most logically completes the text?

Which choice best describes the function of the second sentence in the overall structure of the text?

Square A has side lengths that are $166$ times the side lengths of square B. The area of square A is $k$ times the area of square B. What is the value of $k$?

$2\left(4-x\right)+3\left(4-x\right)=25$

What is the positive solution to the given equation?

The function $f$ is defined by $f\left(x\right)=\left(-8\right){\left(2\right)}^x+22$. What is the y-intercept of the graph of $y=f\left(x\right)$ in the xy-plane?

$x^2-2x-9=0$

One solution to the given equation can be written as $1+\sqrt{k}$, where $k$ is a constant. What is the value of $k$?

Which choice completes the text with the most logical transition?

In the $xy$-plane, a line with equation $2y=4.5$ intersects a parabola at exactly one point. If the parabola has equation $y=-4x^2+bx$, where $b$ is a positive constant, what is the value of $b$?

$f\left(x\right)=\mathrm{9,000}{\left(0.66\right)}^x$

The given function $f$ models the number of advertisements a company sent to its clients each year, where $x$ represents the number of years since $1997$, and $0\le x\le 5$. If $y=f\left(x\right)$ is graphed in the xy-plane, which of the following is the best interpretation of the y-intercept of the graph in this context?

The student wants to explain a disadvantage of relying on audio features to predict a song’s popularity. Which choice most effectively uses relevant information from the notes to accomplish this goal?

The first term of a sequence is $9$. Each term after the first is $4$ times the preceding term. If $w$ represents the $n$th term of the sequence, which equation gives $w$ in terms of $n$?