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Akimi4 [234]
3 years ago
9

Using the line of best fit, estimate how may miles Jack ran the 10th week; show work.

Mathematics
2 answers:
velikii [3]3 years ago
4 0
Take two points and find the slope. 
(4,9) (6,13)
y2-y1/x2-x1
4/2=2=m
y=2x+b
9=8+1
b+1
y=2x+1
Set x to 10 to find the 10th week
y=20+1
21 miles
Set y=26.3 to find which week.
26.3=2x+1
2x=25.3
x=12.6 weeks or round to 13 weeks
I think he should round up because in more slopes in between points, there is a lesser slope than 2.
Hope this helps.


Lapatulllka [165]3 years ago
3 0
One way is to type it into your trusty TI and use the table from presing stat and then stat againg then calc then 4
so the equation that I got from your set of points is y=1.983333333333333x+0.80555555555
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Let f be the function given by f(x)= (x-1)(x^2-4)/x^2-a. For what positive values of a is f continuous for all real numbers x?
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f(x)=\frac{(x-1)(x^2-4)}{x^2-1} = \frac{(x-1)(x^2-4)}{(x-1)(x+1)}=\frac{(x^2-4)}{x+1}

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