Substitute from Word Problems Practice
1.
$m=1.50p$
The transit authority uses the formula above to ascertain the relationship between the number of passengers ($p$) and the money earned ($m$) for each bus it owns. If a bus made 900 dollars on Tuesday, how many passengers used the bus?
2.
$A=\dfrac{I}{60}$
The equation above shows the relationship between the number of Indian rupees (I) and American dollars (A). How many Indian rupies is $32 American dollars worth?
3.
The amount of crystals a person ($c$) can find in a treasure game app is related to the amount of minutes ($m$) a person digs for treasure in the game. ($c=3m+9$). If Shannon receives 360 crystals, how many minutes did she dig for?
4.
The temperature in Houston reached a low of 68 degrees Fahrenheit ($F$) on April 6th. What was the temperature in Celcius ($C$)? $F=\dfrac{9}{5}C + 32$
5.
On New Years Eve, the temperature in Montreal reached a low of 23 degrees Fahrenheit ($F$). What was the temperature in Celcius ($C$)? $F=\dfrac{9}{5}C + 32$
6.
On Christmas Eve, the temperature in London reached a low of -15 degrees Celcius ($C$). What was the temperature in Fahrenheit ($F$)? $(F-32)\times\dfrac{5}{9}=C$
7.
On June 19th, the temperature in Orlando reached a high of 40 degrees Celcius ($C$). What was the temperature in Fahrenheit ($F$)? $(F-32)\times\dfrac{5}{9}=C$
8.
A local bank uses an equation to determine how many pens ($p$) to have available each day based on the number of transactions ($n$) every 10 minutes. The formula the bank uses is $p=\sqrt{n-2}+9$. If there are 13 pens available, how many transactions are in each 10 minute period?
9.
A local bank uses an equation to determine how many pens ($p$) to have available each week based on the number of transactions ($n$) every hour. The formula the bank uses is $(p-9)^2+2=n$. If there are 123 transactions from 9:00AM to 10:00AM, how many pens must be available?
10.
How many degrees ($d$) are in $\dfrac{3\pi}{4}$ radians ($r$)? The formula for radians into degrees is given by the formula $r= \dfrac{\pi}{180} \times d$.
11.
How many degrees ($d$) are in $\dfrac{10\pi}{3}$ radians ($r$)? The formula for radians into degrees is given by the formula $r= \dfrac{\pi}{180} \times d$.
12.
How many radians ($r$) are in 315 degrees ($d$)? The formula for radians into degrees is given by the formula $d= \dfrac{180}{\pi} \times r$. Answers in radians may be left in terms of $\pi$.
13.
How many radians ($r$) are in 5 degrees ($d$)? The formula for radians into degrees is given by the formula $d= \dfrac{180}{\pi} \times r$. Answers in radians may be left in terms of $\pi$.