One of the greatest assets of a secretary is often his/her ability on the keyboard of a computer. Mrs. Garcia has been recognized as the Most Outstanding Typist at a prestigious firm because of her outstanding typing speed. The table below displays data collected from her most recent evaluation.
minutes 1 2 3 4
words 70 140 210 280
Write an equation to represent the total number of words, y, that Mrs. Garcia can type in x minutes
If Mrs. Garcia maintains a constant speed consistent with the results above, how many words will she type in 49 minutes
To write an equation to represent the total number of words, y, that Mrs. Garcia can type in x minutes, we first need to calculate the rate at which she types.
The number of words she types increases by 70 words every minute. This means that the increase in words is proportional to the increase in minutes.
Let's denote the rate at which she types as r. From the data we have:
r = 70 words per minute
Now, we can write the equation for the total number of words y in x minutes:
y = r*x
Substitute the value of r into the equation:
y = 70x
Now, to calculate how many words Mrs. Garcia will type in 49 minutes, we can substitute x = 49 into the equation:
y = 70(49)
y = 3430
Therefore, Mrs. Garcia will type 3430 words in 49 minutes.