Question

a typist writes 45 words per minute. a) Write the rule of the function that represents the relationship between the number of written words. a) ¿machine and the time in which they were written.__________________________ b) How many words can the typist type in 25 minutes? _____________________ C) How long would it take the typist to write 20,025 words?_______________________

Answer 1

Let the number of words be w and the time in minures be t .

Then

`w=45t`

the relationship is

w = 45t

b) In 25 minutes, t = 25

Therefore,

`w=45*25=1125\text{ }`

Hence, the typist can type 1125 words in 25 minutes

c)20, 025 words implies that w = 20, 025

Therefore, we have

`\begin{gathered} 20025=45t \\ \text{ Dividing both sides by 45, we have} \end{gathered}`
`\begin{gathered} (45t)/(45)=(20025)/(45) \\ \text{ Therefore} \\ t=445\text{ mins} \\ \end{gathered}`

The time it will take the typist is 445 minutes