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$y\leq x+7$
$y\geq-2x-1$
Which point $(x,y)$ is a solution to the given system of inequalities in the $xy$-plane?
Difficulty: Hard
A:
$(-14,0)$
B:
$(0,-14)$
C:
$(0,14)$
D:
$(14,0)$
A team of workers has been moving cargo off of a ship. The equation below models the approximate number of tons of cargo, $y$, that remains to be moved $x$ hours after the team started working.
$y=120-25x$
The graph of this equation in the $xy$-plane is a line. What is the best interpretation of the $x$-intercept in this context?
Difficulty: Medium
A:
The team will have moved all the cargo in about 4.8 hours.
B:
The team has been moving about 4.8 tons of cargo per hour.
C:
The team has been moving about 25 tons of cargo per hour.
D:
The team started with 120 tons of cargo to move.
$y=2x+10$
$y=2x-1$
At how many points do the graphs of the given equations intersect in the $xy$-plane?
Difficulty: Medium
A:
Zero
B:
Exactly one
C:
Exactly two
D:
Infinitely many
An employee at a restaurant prepares sandwiches and salads. It takes the employee 1.5 minutes to prepare a sandwich and 1.9 minutes to prepare a salad. The employee spends a total of 46.1 minutes preparing $\bm{x}$ sandwiches and $\bm{y}$ salads. Which equation represents this situation?
Difficulty: Easy
A:
$1.9\bm{x}+1.5\bm{y}=46.1$
B:
$1.5\bm{x}+1.9\bm{y}=46.1$
C:
$\bm{x}+\bm{y}=46.1$
D:
$30.7\bm{x}+24.3\bm{y}=46.1$
$$F(x)=\frac{9}{5}(x-273.15)+32$$
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?
Difficulty: Hard
A:
$16.38$
B:
$48.38$
C:
\(475.29\)
D:
$507.29$
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