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Dafna11 [192]
3 years ago
11

Liam is reading a 254-page book for school. He can read 40 pages in one hour. The equation for the number of pages he has left t

o read is y=254-40x, where x is the number of hours he reads.
a. State the slope and the y-intercept of the graph of the equation.
b. Graph the equation.
c. Interpret what the slope and the y-intercept represent.
Mathematics
1 answer:
tresset_1 [31]3 years ago
8 0
So y=mx+b where m=the slope and b the y intercept is the equation you need to think about..
Now look at the equ. you have, y=254-40x, notice a similarity???
   a.slope (m)=-40
      y-intercept (b)= 254
   b. To graph this, put a dot at (0,254) --this is the y-intercept remember, so thats where we are marking the y-axis at 254, then go down(b/c it's neg.) 40 over 1 (this is your slope remember, -40/1 or -40 over 1  ---which would =-40) and place another dot, connect the dots a voila! You've graphed it!!
   c. So lets think, the y-intercept (254) is the <em>starting point</em>, when we've read zero hours we have 254 pages left. So the slope (-40) is the amount that we can read per hour, <em>for every hour we read, we subtract 40 pages.</em>
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The angle made with the + y-axis is 12.62°+90°=102.62°.



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Thus, to make v a unit vector, without changing its direction, we need to divide v by |v|=68.8. 

This means that the x and y components will also be divided by 68.8, by proportionality.

So, the unit vector in the direction of v is:

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</span>

Answer: 12.62°;  102.62°;  0.97 i + (- 0.22)j

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