Question

Write the function to represent the total numbers or words , y, that mrs. Garcia can type in x minutes.

Answer 1

Part a)
`y=70x`

Part b)
`3,430\ words`

Explanation:

Let

x------> the time in minutes

y-----> the total numbers of words

step 1

we have

`A(1,70), B(2,140)` -----> given table

Find the slope of the linear equation

`m=(140-70/(2-1)=70\ words/minute`

with the slope m and the point A find the equation of the line

The equation of the line in point slope form is equal to

`y-y1=m(x-x1)`

substitute

`y-70=70(x-1)`

`y=70x-70+70`

`y=70x` ----> This is a linear direct variation

Part b) For
`x=49\ min`

substitute the value of x in the linear equation to find the value of y

`y=70(49)=3,430\ words`