SAT Math: Slope and Rate 02

An inspection office at a factory selects 8 toys at random for inspection out of every 300 toys produced. At this rate, how many toys will be inspected if the factory produces 36,000 toys?

$120$

$600$

$870$

$960$

In the xy-plane, the line determined by the point $(3,c)$ and $(c,48)$ passes through the origin. Which of the following could be the value of $c$ ?

$0$

$4$

$8$

$12$

Louis runs 18 meters in 5 seconds. If he runs at the same rate, which of the following is closest to the distance he will run in 5 minutes?

$60$ meters

$450$ meters

$1080$ meters

$5400$ meters

The line $y=cx+3$ , where $c$ is a constant, is graphed in the xy-plane. If the line contains the point $(a,b)$ , where $a \neq 0$ and $b \neq 0$ , what is the slope of the line in terms of $a$ and $b$ ?

$\dfrac{b-a}{c}$

$\dfrac{b-3}{a}$

$\dfrac{a-b}{3}$

$\dfrac{a-3}{b}$

The graph of the linear function $g$ has intercepts at $(a,0)$ and $(0,b)$ in the xy-plane. If $a-b=0$ and $a=b$ , which of the following is true about the slope of the graph of $g$ ?

It is positive

It is negative

It equals zero

It is undefined

Ben is running a race in half a year. To prepare, he creates a training schedule in which the distance of his longest run every week increase by a constant amount. If Ben's training schedule requires that his longest run in week 8 is a distance of 14 miles and his longest run in week 20 is a distance of 30 miles, which of the following best describes how the distance Ben runs changes between week 8 and week 20 of his training schedule?

Ben increases the distance of his longest run by 1.5 miles each week

Ben increases the distance of his longest run by 1.3 miles each week

Ben increases the distance of his longest run by 1.5 miles every 4 weeks

Ben increases the distance of his longest run by 1 mile each week