Linear+Relations+Problems+(answers)

=Linear Relations / Slope (Answers)=
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1. a) C = d ÷ 2 + 3.25, C is the total cost and d is the distance in kilometres. b) too lazy to graph c) The //line// does not pass through the origin because the equation is a partial variation. The y-intercept is 3.25. d) If Peter drove 60 km, he would earn $33.25. If Peter drove 105.5 km, he would earn $56. If Peter drove 121 1/3 km, he would earn $63.92. [//hli//]

2. (70.) . Here are two points: (8, 7) (-7, -4) Find the slope.

A. for #1: Given: (8, 7) and (-7, -4) slope= = {(-4-7)/(-7-8)}= {-11/-15}=11/15
 * m= y2-y1/x2-x1 ||

For (-7, -4) and m=11/15:

y=mx+b

-4=11/15(-7)+b 15(-4)=15(-77/15+b) -60=-77+15b -60+77=15b 15b/15=17/15 b=17/15

∴ The equation for this line is y=11/15x+17/15 [kevink2435]

 8. a) Let //P// represent the pay in dollars; and let //w// represent the number of weeks.

P = 400w + 5 b) P = 400w + 5 = 400 × 1+ (5×100) = 400 + 500 = 900 ∴ Jenny will earn $900 for the week.