Question

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

Answer 1

Answer:

Part a) $y=70x$

Part b) $3,430\ words$

Step-by-step 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

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