Answer:
Part a) [tex]y=70x[/tex]
Part b) [tex]3,430\ words[/tex]
Step-by-step explanation:
Let
x------> the time in minutes
y-----> the total numbers of words
step 1
we have
[tex]A(1,70), B(2,140)[/tex] -----> given table
Find the slope of the linear equation
[tex]m=(140-70/(2-1)=70\ words/minute[/tex]
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
[tex]y-y1=m(x-x1)[/tex]
substitute
[tex]y-70=70(x-1)[/tex]
[tex]y=70x-70+70[/tex]
[tex]y=70x[/tex] ----> This is a linear direct variation
Part b) For [tex]x=49\ min[/tex]
substitute the value of x in the linear equation to find the value of y
[tex]y=70(49)=3,430\ words[/tex]
