Extra Math Practice #141-145

$P=5w+\dfrac{2}{3}t+\dfrac{3}{10}m$

Speedy Courier Service delivers packages by car. The service uses the equation above to calculate $P$ , the total fee in dollars to deliver a package. In the equation, $w$ is the weight of the package in pounds, $t$ is the amount of driving time in minutes required to deliver the package, and $m$ is the number of miles the courier must drive to deliver the package. A customer has an 3-pound package that she needs delivered to a colleague 30 miles away. If the delivery fee is $54, what is the driver's average speed in miles per hour?

A)30 miles per hour

B)40 miles per hour

C)45 miles per hour

D)55 miles per hour

The table above shows ridership data over the course of five years for BKV Zrt., which is the main public transportation provider in Budapest, Hungary. Passenger Kilometers is a measure of the total distance traveled by all passengers throughout the year. Which of the following statements is supported by the data?

A)The average number of passengers per year was greater than the median number of passengers per year during the period from 2006 to 2010.

B)From 2009 to 2010, the number of passengers declined by a greater percentage than did the number of passenger kilometers.

C)The range of passenger kilometers per year over the period from 2006 to 2010 was about 61 million.

D)The average number of passenger kilometers over the period from 2006 to 2010 was closest to the passenger kilometers in 2006.

$\begin{align*}f(x)=(3x+4)(4x+1)(12x-9)\end{align*}$

The function $f(x)$ , defined above, can be rewritten as $f(x)=ax^3+bx^2+cx+d$ , where $a$ , $b$ , $c$ , and $d$ are constants. What is the value of $a-d$ ?

A parabola in the $xy$ -plane has the equation $y=3x^2+36x+60$ . Which of the following equations shows the parabola's minimum $y$ -value as a constant or coefficient?

A) $y=3((x+6)^2-16)$

B) $y=3(x^2+12x+20)$

C) $y=3(x+2)(x+10)$

D) $y=3(x+6)^2-48$

If $f(x+3)=(x-1)(x+8)$ , then which of the following is equal to zero?

A) $f(11)$

B) $f(2)$

C) $f(-4)$

D) $f(-5)$