Unit 3 Quiz

A car can drive 146 miles on 5 gallons of gas. At this same ratio, which of the following is closest to the number of miles the car can drive on 12 gallons of gas?

• 320

• 335

• 350

• 382

The variables x and y are directly related. If  $y=10$  when  $x=6$ , then which equation below shows the proper algebraic relationship between all values of x and y? 

•  $y=\frac{5}{3}x$  

•  $y=2x-2$  

•  $y=x+4$  

•  $y=\frac{3}{5}x$  

A function $f$  is defined by the table shown. Which of the following is the average rate of change of f over the interval 

 $4\le x\le12$

 

•  $-\frac{3}{4}$  

•  $\frac{5}{4}$  

•  $-\frac{3}{2}$  

•  $\frac{5}{2}$  

Which of the following is an equation for the line that is perpendicular to  $y=4x-3$ and which passes through the point  $\left(-2,5\right)$ ?

•  $y=-4\left(x-2\right)+5$  

•  $y=-4\left(x+2\right)+5$  

•  $y=-\frac{1}{4}\left(x-2\right)+5$  

•  $y=-\frac{1}{4}\left(x+2\right)+5$  

An empty gasoline container weighs 1.75 pounds. It is filled with gasoline that weighs 6.28 pounds per gallon. Which of the following functions properly models the total weight of container and gasoline,  $w$ , as a function of the number of gallons of gasoline it holds,  $g$ ?

•  $w=1.75g+6.28$  

•  $w=6.28g+1.75$  

•  $w=1.75\left(g-6.28\right)$  

•  $w=6.28\left(g+1.75\right)$  

A line passes through the points  $\left(4,5\right)$  and  $\left(10,2\right)$ . Algebraically determine an equation for the line in slope-intercept form  $y=mx+b$ . Do not include any parenthesis or spaces in your answer.

Line $m$ is shown graphed with a point A marked at $\left(2,7\right)$ . Write an equation for line $m$ in slope-intercept form. Do not include any parenthesis or spaces in your equation

A space agency is tracking the height of a lunar probe as it descends to the surface of the moon. They model its height using the function $h\left(t\right)=-82t+12520$ , where $t$  is the number of hours since the probe started its descent and $h$ is the height above the surface in miles. What are the two correct parameters that represent the context of this problem

• 12,520 hours since take off

• traveling at 82 mph in its descent

• started 12,520 miles above the moon's surface

• 82 hours since take off

• None of the above