Algebra 1 Common Core Student Edition, Grade 8-9

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No; all points are not on a straight line.

r

Gas

Used, x

Distance,

y

[ 0 40 )

! (^190) j
[ 2 140 j
3 190 j

b. No; you can always multiply a number by j. The
denominator of the fraction will get larger and larger, so
the value of the fraction will approach 0 but never reach it.

2. The number of branches is 3 raised to the xth power;
   y=3x; 81, 243.


3. Start with -3 and add 5
   for each increase of 1 forx;
   y = 5x - 3.

Gas (gal )

Either distance or gas could be the independent

variable, depending on what information is supplied

and what is to be calculated.

19. graph of a line that goes through (0, 0); (1, 6), (2, 12);
    the horizontal axis is labeled Distance and the vertical axis
    is labeled Time.
    Lesson 4-3 pp. 246-251


20. y = 3 x -2 3. C 4a. linear function b. nonlinear
    function 5. Only the first two pairs fit this rule. The rule
    that fits all the pairs is y = x2 + 1.
    Exercises

nonlinear nonlinear

Got It?

1a. nonlinear

3. y = x 2
   Lesson Check

linear

11. Yes; for each additional
    hour of climbing, you
    gain 92 ft of elevation;
    y = 92x + 1 127.

y = 50x -

^ 150

£ 100

linear

13. Yes; for every 17 mi traveled,
    the amount of gas in your
    tank goes down by 1 gallon;
    y= ~jjx+ 11.2.
    17 34 51